p9-2000-274 librariy1. bbe,l(ehhe tipobe.lj.ehhble pahee paclfetbl[l] noka3ajih, lfto nph 3heprhh...
Post on 08-Jan-2020
0 Views
Preview:
TRANSCRIPT
AUG 3 1 2001 P9-2000-274 shy
libRAriY
CIiBopO)f(UOB AAfJla30B fAKapaMbIIIIeBa EBCaMCOHOB pound _I 5CfIsOfDV
11I1HAMI1KA QACTI1U C yqETOM BJIIDIHIDI npOCTPAHCTBEHHOfO
3AP~llA B C11JIbHOTOQHOM UI1KJIOTPOHE (lleHTpoHHbIH BapHaHT)
-_D-r-ru-D ~ j=gi-oLL_D_0-- 2000
1 BBel(eHHe TIpoBelJeHHble paHee paCLfeTbl[l] nOKa3aJIH LfTO npH 3HeprHH HIDKeKUHH Wj = 03 M3B
H KpaTHocTH YCKopeHH5I h = 18 ueHTpaJIbHa5I o6nacTb lJHKnOTpoHa HMeeT cnHWKOM MaJIble
nonepeLfHbIe aKcenTaHCbI lJn5I YCKopeHH5I CHnbHOTOLfHoro nyLfKa l(mI ysenHLfeHH5I
aKcenTaHCOB 6bIJIa nOBbIweHa meprH5I HH)KeKlJHH H YMeHbweHa KpaTHoCTb YCKopeHH5I
TIapaMeTpbI Hcnonb3yeMble lJn51 paCLfeTOS npelJCTaBneHbI B Ta6nHlJe 1
T 6 1 na JlHUa apaMeTpblUHKJlOTpOHa
THn lJHKnOTpoHa CeKTOpHbIH
YCKOp5leMa5I LfaCTHlJa neHTpoH
3HeprH5I HH)KeKlJHH (M3B) 05 KOHeLfHa51 3HeprH5I (M3B) 150 HHTeHcHBHoCTb (MA) 10
MafHHTHaSi CHCTeMa
lHcno ceKTOpoB 4
YrnOBa5I npOT5I)KeHHOCTb ceKTopa (0) 30
Me)KnOnIOCHoH 3a30p (CM) 3 PalJHaJIbHa5I npOT5I)KeHHOCTb nonlOca (CM) 15 +165 CpelJHee MarHHTHoe none (Kf~ 5 MaKCHMaJIbHb[H tPnaTTep 145
YCKOPSIlOlUaSi CHCTeMa
lHcno L-3neKTp0lJOB 2 Pe30HaHCHa5I LfaCTOTa (MrlJ) 495 YrnOBa5I npOT5I)KeHHOCTb L-3neKTPonoB ( 0) 125 lIllIpHHa YCK menH (0) 25 AKcHanbHa5I anepTYpa (CM) 20 PaDHaJIbHa5I npOnl)KeHHOCTb (CM) 15 +165 Bl-Hanp5l)KeHHe (KB) 100+350
)lHHaMHKa aCTHU
lacToTa o6pameHH5I (MrlJ) 4125 KpaTHOCTb )cKojleHH5I 12 Ha60p 3HeprHH (M3B) 04+12 IDaI Op6HT Ha HIDKeKUHH (CM) 8
Ha BbIBone (CM) 5 qacToTbI cBo6onHbIX Kone6aHHH panHaJIbHbIX 11+12
aKCHaJIbHbIX 10+12 I
2 3c1)(lJeKTbl npocTpaHcTBeHHoro 3apHl(a - aHaJIHTHIeCKHe oueHKH CHnbI npOCTPaHCTBeHHoro 3ap5lna B lJHKnOTPOHe MO)J(HO pa3lJenHTb Ha CHnbI
nonepeLfHoro H nponOJlbHOro lJeHCTBHH TIonepeLfHbIe CHnbI npOCTPaHCTBeHHoro 3apAAa
npe06JlaDaIOT B ueHrpe UHKJIOTPOHa H B OCHOBHOM OCna6n51IOT BePTHKaJIbHYlO tP0KYCHPOBKY TIpononbHble CHnbI npHBOlJ5lT K pa36pocy 3HeprHH KOTOPbIH npSlMO nponOpUHOHaJIeH
cpenHeH HHTeHCHBHOCTH nyLJKa H o6paTHO nponOpUHOHaJIeH nonHOH tPa30BOH WHpHHe
1
I
21 Oue1lKa 8JlUJlIIUJI nOnepelf1l0l0 npocmpa1lCm6e1l1I0l0 3apRoa TaK KaK np06JIeMa nonepellHoro npoc-rpaHCTBeHHoro 3apRlla llOMHHHPYeT Ha HH3KHX
meprHRX nOCJIellyIDmHe paCqeTbI ClleJIaHbIllJIR 3HeprHH HIDKeKQHH AeHcTBHe
nOnepeqHoro npOCTPaHCTBeHHoro 3aplIlla npolIBJIlIeTCR B BHlle YMeHbllIeHHR qaCTOTbI
6eTa-rpoHHbIX KOJIe6aHHH BHaqaJIe npOH3BelleM OQeHKY CllBHra qaCTOT BOCnOJIb30BaBllIHCb
CJIellYIOmHMH qopMYJIaMH[2]
Q2 __ Q2 _ 4nroar2x ir Z 0 y3 ir + amp rlle X - nJIOTHOCTb npoc-rpaHCTBeHHOro 3apMa npH
3JlJlHnTHqeCKOM nOnepeqHOM CeqeHHH cryCTKa H paBHOMepHOM pacnpelleJIeHHH 3aplIlla
paBHa
81
Qzo=lO p=0023 rod=O 7671016 CM (KJIaCCHqeCKHH PaAHYC lleHTpOHa)
r=cl2Jif=1l575 CM
ir=2 CM amp=2 CM - pallHaJIbHbIH aKCHaJIbHbIH pa3MepbI CryCTKa I1rp=nl6 Bll shyqa30BalI npOTlI)KeHHOCTb cryCTKa
3HaqeHHe aKCHaJIbHOH qaCTOTbI AJIlI TOKa 20 MA YMeHbllIHTClI Ha 03 qTQ llOnYCTHMO
AaJIee 6bIJIH npOH3BelleHbI oueHKH npelleJIbHoro TOKa (llJIR Tex )Ke napaMerpoB) C
HCnOJIb30BaHHeM UHJlHHllpHqeCKOH MOlleJIH nyqKa[3] npellnOJIaraIOmeH paBHoMepHYIO
nJIOTHOCTb 3aplIlla CJIellYlOmHe llOnymeHHR a) aKCHaJIbHalI qaCTOTa B ueH-rpe UHKJIo-rpOHa
MeHbllIe qeM roPH30HTaJIbHalI 6) aKcenTaHC YCTaHOBKH MHOro 60JIbllIe qeM 3MHTTaHC
nyqKa B) nyqOK crpynnHpoBaH C qa30BOH llIHPHHOH )rp npHBOART K q0PMYJIe
I - ~(iJI Rn2 (amp 12J2( f1 PJ lim - 4 Z oPLzo Roc 2rc)
10 - YHHBepCaJIbHbIH TOK AJIR lleH-rpOHOB 10 ~ 31 MA (py)10 -Alfven - TOK
COrJIaCHO 3TOH qopMYJIe npelleJIbHbIH TOK 1Um =22 MA
220ueIlKa OeiiCm6UJ1 npOOOllb1l0l0 npOCmpa1lCm6e1l1I0l0 3apROa BJIHlIHHe CHJI npOllOJIbHOro npoc-rpaHCTBeHHoro 3aplIlla npHBOllHT K pa36pocy 3HeprHH
nyqKa qTO MO)KeT npenlITCTBOBaTb pa3lleJIeHHIO Op6HT He06xollHMOMY llJIlI 3qqeKTHBHOrO
BbIBOlla Pa36poc 3HeprHH BbI3BaHHbIH npoc-rpaHCTBeHHbIM 3apRllOM He lIBJIReTClI JIHHeHHOH
qYHKQHeH qa30BOro pa3Mepa nyqKa
TIOJIHbIH pa36poc 3HepmH nOCJIe n o60pOTOB BbI3BaHHbIH JIHHeapH30BaHHOH qaCTblO
npoc-rpaHCTBeHHoro 3aplIlla MO)KHO oueHHTb no qopMYJIe[3] BbITeKaIOmeH H3 llHCKOBOH
2
28kn lt 1 gt 27f n I1tp Pmax
OueHKH 6bIJIH npOH3BelleHbI AJIlI cJIellyIDmHX llaHHblX
KOJIHqeCTBO 060pOTOB n=20 3max=O 126 lt[gt=20 MA pa36poc 3HeprHH COCTaBHJI
LJUsc=21 M3BHYKJIOH KOJIHqeCTBO 060pOTOB n=17 3max=0126 lt1gt=20 MA pa36poc 3HeprHH COCTaBHJI
LJUsc=15 M3BHYKJIOH nHHeHHalI qaCTb npoc-rpaHCTBeHHoro 3aplIlla MO)KeT 6bITb KOMneHcHpoBaHa flattopshy
pesoHaTOpoM AeHCTBHe HeJIHHeHHOH qaCTH np0llOJIbHoro npoCTPaHCTBeHHoro 3apRlla
2
npHBOllHT K OrpaHHtfeHHIO Ha npellenbHblH TOK nytfKa CB5I3aHHOMY C pa3lleneHHeM op6HT
BOcnonb3yeMcSI CnellYlOlllHM KpHTepHeM pa3lleneHH5I Op6HT[3]
I U r (I1rpJ fJrnav lt in28kO 2ft -T
rlle Vf KOHetfHlUI meprnSl in - npHHHMaJ1aCb paBHOH 03 H OnpelleAAeT llOnlO
HenHHeHHoro pa36poca HanpSl)l(eHH5I OT nHHeHHoro
OUsc(HeJlllHeilHbZU) 5 in t1Vsc(JlUHeUHbIU)
B pe3ynbTaTe npellenbHblH TOK llOnYCKalOlllHH pa3lleneHHe Op6HT npH n= 20 COCTaBHT
12MA
3 lJuCJleHHOe MO)JeJlHpOB8Hue
31 OnmUMaJlblf6le YCJl06UR OJlR UIfJICeKuuu uelfmpaJlblfOii QaCmUl(61
)1nSl paCtfeTOB llHHaMHKH nytfKa 6e3 YleTa npOCTpaHCTBeHHoro 3ap5llla HcnOnb30BaJ1aCb
nporpaMMa MOVIDE BHYTPH KOTOPOH HHTerpHpOBaJ1HCb nonHble ypaBHeHIDI llBH)I(eHH5I
3ap5l)l(eHHOH tfaCTHUbl B meKTpOMarHHTHOM none UHKnOTpOHa Bq-Hanp5)l(eHHe nHHeHHO
pocno OT 125 B ueHTpe llO 250 KB Ha BbIBOlle wHpHHa YCKOP5llOlllHX llleneH MeH5InaCb
nHHeHHo OT 2 llO 5 CM
B KatfeCTBe CTapTOBOro yrna llnSi paCIeTa llHHaMHKH tfaCTHU 6bIn B35IT a3HMYT ltP 0deg
KOTOPblH pacnOnO)l(eH 3a 375deg llO CepellHHbl nepBoH YCKopSilOllleH lllenH Ha 3TOM a3HMYTe B
TpexMepHoM ltlgta30BOM npocTpaHcTBe (r r II) rlle jI - CTapTOBlUI ltlgta3a tfaCTHUbl
OTHOCHTenbHO BQ-HanpSl)l(eHH5I npOBOllHnC5I nOHCK OnTHMaJ1bHOH tfaCTHUbl KOTOPlUl
o6nallaJ1a 6bl K KOHUY TpeTberO o6opoTa MHHHMaJ1bHOH aMnnHTYllOH panHaJ1bHblX
Kone6aHHH H HaXOllHnaCb B6nH3H MaKcHMYMa BQ-Hanp5l)l(eHH5I B MOMeHT nponeTa
YCKOP5llOlllHX llleneH leneBlUI ltlgtYHKUH5I BHlla X = Ar (CM) + jIlO (OB1I) rlle Ar - aMnnHrylla
pallHaJ1bHblX Kone6aHHH HcnOnb30BaJ1aCb B npouecce nOHCKa OnTHMaJ1bHOH tfaCTHUbl 3TH
paCtfeTbl noKa3aJ1H tfTO HeB03MO)l(HO OllHOBpeMeHHO l106HTbC5I HyneBblx panHaJ1bHblX
Kone6aHHH H MaKCHMaJ1bHOro Ha60pa meprHH MHHHMaJ1bHOe 3HatfeHHe ueneBOH ltlgtYHKUHH
OKa3aJ10Cb paBHblM 07 tfTO COOTBeTCTBOBaJ10 IaCTHue C Ar = 05 CM H jI = 200BQ B
MOMeHT cTapTa na IaCTHua HMena CnellYlOlllHe napaMeTpbl r=3142 CM r=141 CM
jI =-400BQ Ha pHC 1 nOKa3aHa TpaeKTOpHSI OnTHMaJ1bHOH tfaCniUbl B TetfeHHe nepBblx Tpex
060pOTOB
32 AKcenmalfc61 l(elfmpaJIblfOii o6Jlacmu YCKopUmeJlR
)(mt paCtfeTa aKcenTaHCOB CHatfaJ1a reHepHpOBaJ1HCb cnYtfaHHblM 06pa30M Ha60Pbl 100
tfaCTHU B 5-MepHoM ltlgta30BOM 06beMe (r r z z II) KOTOPblH OKPY)I(aJ1 OnTHMaJ1bHYIO
tfaCTHUY BapbHpOBaJ1HCb CPa30BlUI npOT5I)I(eHHOCTb cryCTKa ero nOnepetfHble pa3Mepbl H
0pHeHTaUH5I oceH 3nnHnCOB Ha ltlgta30BbIX nnOCKOCT5IX 3aTeM 3TH Ha60Pbl tfaCTHU
YCKopnnHCb B TetfeHHe Tpex 060pOTOB B KatfeCTBe orpaHHtfeHHH onpellen5llOlllHX 3HatfeHHn
aKcenTaHCOB UHKnOTpOHa B llaHHOM cnYtfae 6bInH HCnOnb30BaHbl CnellYlOlllHe nOnO)l(eHIDI
bull panHaJIbHlUI npOTn)l(eHHOCTb CBo60llHOH OT tfaCTHU 30HbI Me)l(llY HH)I(eKTHpyeMblM
nYtfKOM H COBepWHBWHM OllHH 060pOT llOn)l(Ha 6bITb He MeHee 1a CM~
bull aKCHaJIbHblH pa3Mep nYIKa He llOn)l(eH npeBbIwaTb 075 anepTYpbl A-3neKTpOlla
B pesynbTaTe paCtfeTOB 6bInH nonYieHbI CnellYlOlllHe 3HatfeHHSI aKcenTaHCOB
- panHaJIbHblH Er=1261t MMmiddotMPan
- aKCHaJIbHblH Ez= 251t MMmiddotMPan
- ltlgta30BbIH EIf= 30deg BQ
3
Ha pHc2 npHBetteHbI Ha 4gta30BbIX nJIOCKOCTHX paztHaJIbHOrO H aKCHaJIbHOro ttBH)I(eHIDI
CTapTOBbIe nOJIO)l(eHHj 100 qaCTHU COOTBeTCTBYlOlllHe aKcenTaHcaM ueHTPaJIbHOH 06JIaCTH
UHKJIorpoHa Ha pHC) nOKa3aHbl nepBbIe 060pOTbi 100 qaCTHU 3anOJIHHBWHX aKcenTaHC
UHKJIorpoHa Ha PHC4 npHBetteHbI aKCHaJIbHbIe rpaeKTOpHH 3THX )l(e qaCTHU 3aMeTHO
YBeJIHqeHHe aMnJIHTYtt aKCHaJIbHblX KOJIe6aHHH npHMepHo B ) pa3a BO BpeMj nepBblX ttByx
o60poTOB npHqHHa pOCTa aKCHaJIbHbIX aMnJIHTYtt OCTaJIaCb nOKa HeBbIjCHeHHoH BecbMa
BepOjITHO ITO 3TOT 4gtaKT CBj3aH C TeM ITO qaCTOTbI CB060ttHbIX nOnepeqHblX KOJIe6aHHH Ha
nepBOM o60poTe 6JIH3KH (Q =11 Qz =105) a Ha BTOPOM H nOCJIettylOlllHx 060poTax
npaKTHqeCKH COBnaztaIOT (Q ~Qz ~12) no cpaBHeHHIO C npettblttYlllHM BapHaHTOM UHKJIorpoHa YBeJIHqeHHe 3HeprHH
HH)I(eKUHH H YMeHbweHHe KpaTHoCTH YCKopeHHj npHBeJIH K CYllleCTBeHHOMY YBeJIHqeHHIO
(B 7 pa3) paztHaJIbHOro aKcenTaHca tta)l(e npH 60JIee )l(eCTKOM ero onpetteJIeHHH (paHee
tteKJIapHpOBaJIaCb cBo60ttHM 30Ha 5 CM) lttraquoa30BbIH aKcemaHC TaKgtKe BbIpOC H OqeBHttHO qro
OH MO)l(eT 6bITb ellle YBeJIHqeH eCJIH paztHaJIbHblH 3MHTTaHC HH)I(eKTHpyeMoro nyqKa He
6ytteT npeBbIwaTb 1001tdegMMoMpatt AKCHaJIbHblH aKcemaHC npaKTHqeCKH He H3MeHHJICj H
npHqHHa 3TOro 3aKJIlOqaeTcj B pOCTe aKCHaJIbHbIX aMnJIHTYtt no HeBbljCHeHHbIM nOKa tt0
KOHua npHqHHaM B03MO)l(HO lfTO MbI Ha6JIIOttaeM tteHCTBHe Pa3HOCTHOro pe30HaHCa CBj3H
Qr - Qz =0
PHC 1 nepBbIe rpH 060poTa ueHrpaJIbHOH qaCTHUbI 4gta30BOro 06beMa
2S
20 bull ofmiddotmiddot bull bulltbull-r
a bullbullbullbullbull bull - a)- 05
04
02
E -200 a
-02
-04
fIIbullbull bull -shy
bullbull1 bull cshy ~ 4 ~
b) 00 ----------------------------1
300 305 310 315 320 325 330 -04 -02 00 02 04
R(cm) Z(cm)
PHC 2 CTaproBble nOJIO)l(eHHj nyqKa Ha 4gta30BblX nJIOCKOCTHX panHaJIbHoro a) H
aKCHaJIbHOro 6) ttBH)I(eHHj llnolllattH 3aHHMaeMbie nyqKOM COOTBeTCTBYfOT aKcellT8HCaM
UHKJIorpOHa
4
10
30
30 40 50 X(cm)
PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu
aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa
z (em)
250
Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125
I I I
200 -----~------r----------
1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy
100
50
00
-50
100
150
200
250 00
I I
50 100 150 200 250 300 350 400 450 500 T URN S
PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa
paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa
5
33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT
nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX
UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl
HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar
HHTerpHpoBaHH~ 05deg)
YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)
TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy
pe30HaTopa
JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ
JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method
fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no
MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble
qaCTOTbI
1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T
a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT
paJlHyca
50
40
30
CL 20c C) Q) 10 ~ Q) Ul ro 0
J CL
-10
-20
~ 1
l I 1
I
I I i 1 i
I
ii L Iii
A I
II I i r- shy~ I
i-~
~I~ I I
II
-30 02 04 06 08 10 12 14 16
Radius (m)
PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl
Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl
CB06o)lHhIX KOJIe6aHHH
6
8
2 6gt (J)
~ c 0 4(J)
13 I C
gtshy0) I 2(J) C
UJ
o 02 08 10 12 14 16
-- f------L----04 06
I I
V
1
~
I
Radius (m)
PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca
125
120
115
N a (j 110
105
100
-- ~L--- ~~~ i-
~jyW~ ~
V Qz Qr
V I
I
I
02 04 06 08 10 12 14 16
Radius(m)
PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH
CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B
HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH
7
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
1 BBel(eHHe TIpoBelJeHHble paHee paCLfeTbl[l] nOKa3aJIH LfTO npH 3HeprHH HIDKeKUHH Wj = 03 M3B
H KpaTHocTH YCKopeHH5I h = 18 ueHTpaJIbHa5I o6nacTb lJHKnOTpoHa HMeeT cnHWKOM MaJIble
nonepeLfHbIe aKcenTaHCbI lJn5I YCKopeHH5I CHnbHOTOLfHoro nyLfKa l(mI ysenHLfeHH5I
aKcenTaHCOB 6bIJIa nOBbIweHa meprH5I HH)KeKlJHH H YMeHbweHa KpaTHoCTb YCKopeHH5I
TIapaMeTpbI Hcnonb3yeMble lJn51 paCLfeTOS npelJCTaBneHbI B Ta6nHlJe 1
T 6 1 na JlHUa apaMeTpblUHKJlOTpOHa
THn lJHKnOTpoHa CeKTOpHbIH
YCKOp5leMa5I LfaCTHlJa neHTpoH
3HeprH5I HH)KeKlJHH (M3B) 05 KOHeLfHa51 3HeprH5I (M3B) 150 HHTeHcHBHoCTb (MA) 10
MafHHTHaSi CHCTeMa
lHcno ceKTOpoB 4
YrnOBa5I npOT5I)KeHHOCTb ceKTopa (0) 30
Me)KnOnIOCHoH 3a30p (CM) 3 PalJHaJIbHa5I npOT5I)KeHHOCTb nonlOca (CM) 15 +165 CpelJHee MarHHTHoe none (Kf~ 5 MaKCHMaJIbHb[H tPnaTTep 145
YCKOPSIlOlUaSi CHCTeMa
lHcno L-3neKTp0lJOB 2 Pe30HaHCHa5I LfaCTOTa (MrlJ) 495 YrnOBa5I npOT5I)KeHHOCTb L-3neKTPonoB ( 0) 125 lIllIpHHa YCK menH (0) 25 AKcHanbHa5I anepTYpa (CM) 20 PaDHaJIbHa5I npOnl)KeHHOCTb (CM) 15 +165 Bl-Hanp5l)KeHHe (KB) 100+350
)lHHaMHKa aCTHU
lacToTa o6pameHH5I (MrlJ) 4125 KpaTHOCTb )cKojleHH5I 12 Ha60p 3HeprHH (M3B) 04+12 IDaI Op6HT Ha HIDKeKUHH (CM) 8
Ha BbIBone (CM) 5 qacToTbI cBo6onHbIX Kone6aHHH panHaJIbHbIX 11+12
aKCHaJIbHbIX 10+12 I
2 3c1)(lJeKTbl npocTpaHcTBeHHoro 3apHl(a - aHaJIHTHIeCKHe oueHKH CHnbI npOCTPaHCTBeHHoro 3ap5lna B lJHKnOTPOHe MO)J(HO pa3lJenHTb Ha CHnbI
nonepeLfHoro H nponOJlbHOro lJeHCTBHH TIonepeLfHbIe CHnbI npOCTPaHCTBeHHoro 3apAAa
npe06JlaDaIOT B ueHrpe UHKJIOTPOHa H B OCHOBHOM OCna6n51IOT BePTHKaJIbHYlO tP0KYCHPOBKY TIpononbHble CHnbI npHBOlJ5lT K pa36pocy 3HeprHH KOTOPbIH npSlMO nponOpUHOHaJIeH
cpenHeH HHTeHCHBHOCTH nyLJKa H o6paTHO nponOpUHOHaJIeH nonHOH tPa30BOH WHpHHe
1
I
21 Oue1lKa 8JlUJlIIUJI nOnepelf1l0l0 npocmpa1lCm6e1l1I0l0 3apRoa TaK KaK np06JIeMa nonepellHoro npoc-rpaHCTBeHHoro 3apRlla llOMHHHPYeT Ha HH3KHX
meprHRX nOCJIellyIDmHe paCqeTbI ClleJIaHbIllJIR 3HeprHH HIDKeKQHH AeHcTBHe
nOnepeqHoro npOCTPaHCTBeHHoro 3aplIlla npolIBJIlIeTCR B BHlle YMeHbllIeHHR qaCTOTbI
6eTa-rpoHHbIX KOJIe6aHHH BHaqaJIe npOH3BelleM OQeHKY CllBHra qaCTOT BOCnOJIb30BaBllIHCb
CJIellYIOmHMH qopMYJIaMH[2]
Q2 __ Q2 _ 4nroar2x ir Z 0 y3 ir + amp rlle X - nJIOTHOCTb npoc-rpaHCTBeHHOro 3apMa npH
3JlJlHnTHqeCKOM nOnepeqHOM CeqeHHH cryCTKa H paBHOMepHOM pacnpelleJIeHHH 3aplIlla
paBHa
81
Qzo=lO p=0023 rod=O 7671016 CM (KJIaCCHqeCKHH PaAHYC lleHTpOHa)
r=cl2Jif=1l575 CM
ir=2 CM amp=2 CM - pallHaJIbHbIH aKCHaJIbHbIH pa3MepbI CryCTKa I1rp=nl6 Bll shyqa30BalI npOTlI)KeHHOCTb cryCTKa
3HaqeHHe aKCHaJIbHOH qaCTOTbI AJIlI TOKa 20 MA YMeHbllIHTClI Ha 03 qTQ llOnYCTHMO
AaJIee 6bIJIH npOH3BelleHbI oueHKH npelleJIbHoro TOKa (llJIR Tex )Ke napaMerpoB) C
HCnOJIb30BaHHeM UHJlHHllpHqeCKOH MOlleJIH nyqKa[3] npellnOJIaraIOmeH paBHoMepHYIO
nJIOTHOCTb 3aplIlla CJIellYlOmHe llOnymeHHR a) aKCHaJIbHalI qaCTOTa B ueH-rpe UHKJIo-rpOHa
MeHbllIe qeM roPH30HTaJIbHalI 6) aKcenTaHC YCTaHOBKH MHOro 60JIbllIe qeM 3MHTTaHC
nyqKa B) nyqOK crpynnHpoBaH C qa30BOH llIHPHHOH )rp npHBOART K q0PMYJIe
I - ~(iJI Rn2 (amp 12J2( f1 PJ lim - 4 Z oPLzo Roc 2rc)
10 - YHHBepCaJIbHbIH TOK AJIR lleH-rpOHOB 10 ~ 31 MA (py)10 -Alfven - TOK
COrJIaCHO 3TOH qopMYJIe npelleJIbHbIH TOK 1Um =22 MA
220ueIlKa OeiiCm6UJ1 npOOOllb1l0l0 npOCmpa1lCm6e1l1I0l0 3apROa BJIHlIHHe CHJI npOllOJIbHOro npoc-rpaHCTBeHHoro 3aplIlla npHBOllHT K pa36pocy 3HeprHH
nyqKa qTO MO)KeT npenlITCTBOBaTb pa3lleJIeHHIO Op6HT He06xollHMOMY llJIlI 3qqeKTHBHOrO
BbIBOlla Pa36poc 3HeprHH BbI3BaHHbIH npoc-rpaHCTBeHHbIM 3apRllOM He lIBJIReTClI JIHHeHHOH
qYHKQHeH qa30BOro pa3Mepa nyqKa
TIOJIHbIH pa36poc 3HepmH nOCJIe n o60pOTOB BbI3BaHHbIH JIHHeapH30BaHHOH qaCTblO
npoc-rpaHCTBeHHoro 3aplIlla MO)KHO oueHHTb no qopMYJIe[3] BbITeKaIOmeH H3 llHCKOBOH
2
28kn lt 1 gt 27f n I1tp Pmax
OueHKH 6bIJIH npOH3BelleHbI AJIlI cJIellyIDmHX llaHHblX
KOJIHqeCTBO 060pOTOB n=20 3max=O 126 lt[gt=20 MA pa36poc 3HeprHH COCTaBHJI
LJUsc=21 M3BHYKJIOH KOJIHqeCTBO 060pOTOB n=17 3max=0126 lt1gt=20 MA pa36poc 3HeprHH COCTaBHJI
LJUsc=15 M3BHYKJIOH nHHeHHalI qaCTb npoc-rpaHCTBeHHoro 3aplIlla MO)KeT 6bITb KOMneHcHpoBaHa flattopshy
pesoHaTOpoM AeHCTBHe HeJIHHeHHOH qaCTH np0llOJIbHoro npoCTPaHCTBeHHoro 3apRlla
2
npHBOllHT K OrpaHHtfeHHIO Ha npellenbHblH TOK nytfKa CB5I3aHHOMY C pa3lleneHHeM op6HT
BOcnonb3yeMcSI CnellYlOlllHM KpHTepHeM pa3lleneHH5I Op6HT[3]
I U r (I1rpJ fJrnav lt in28kO 2ft -T
rlle Vf KOHetfHlUI meprnSl in - npHHHMaJ1aCb paBHOH 03 H OnpelleAAeT llOnlO
HenHHeHHoro pa36poca HanpSl)l(eHH5I OT nHHeHHoro
OUsc(HeJlllHeilHbZU) 5 in t1Vsc(JlUHeUHbIU)
B pe3ynbTaTe npellenbHblH TOK llOnYCKalOlllHH pa3lleneHHe Op6HT npH n= 20 COCTaBHT
12MA
3 lJuCJleHHOe MO)JeJlHpOB8Hue
31 OnmUMaJlblf6le YCJl06UR OJlR UIfJICeKuuu uelfmpaJlblfOii QaCmUl(61
)1nSl paCtfeTOB llHHaMHKH nytfKa 6e3 YleTa npOCTpaHCTBeHHoro 3ap5llla HcnOnb30BaJ1aCb
nporpaMMa MOVIDE BHYTPH KOTOPOH HHTerpHpOBaJ1HCb nonHble ypaBHeHIDI llBH)I(eHH5I
3ap5l)l(eHHOH tfaCTHUbl B meKTpOMarHHTHOM none UHKnOTpOHa Bq-Hanp5)l(eHHe nHHeHHO
pocno OT 125 B ueHTpe llO 250 KB Ha BbIBOlle wHpHHa YCKOP5llOlllHX llleneH MeH5InaCb
nHHeHHo OT 2 llO 5 CM
B KatfeCTBe CTapTOBOro yrna llnSi paCIeTa llHHaMHKH tfaCTHU 6bIn B35IT a3HMYT ltP 0deg
KOTOPblH pacnOnO)l(eH 3a 375deg llO CepellHHbl nepBoH YCKopSilOllleH lllenH Ha 3TOM a3HMYTe B
TpexMepHoM ltlgta30BOM npocTpaHcTBe (r r II) rlle jI - CTapTOBlUI ltlgta3a tfaCTHUbl
OTHOCHTenbHO BQ-HanpSl)l(eHH5I npOBOllHnC5I nOHCK OnTHMaJ1bHOH tfaCTHUbl KOTOPlUl
o6nallaJ1a 6bl K KOHUY TpeTberO o6opoTa MHHHMaJ1bHOH aMnnHTYllOH panHaJ1bHblX
Kone6aHHH H HaXOllHnaCb B6nH3H MaKcHMYMa BQ-Hanp5l)l(eHH5I B MOMeHT nponeTa
YCKOP5llOlllHX llleneH leneBlUI ltlgtYHKUH5I BHlla X = Ar (CM) + jIlO (OB1I) rlle Ar - aMnnHrylla
pallHaJ1bHblX Kone6aHHH HcnOnb30BaJ1aCb B npouecce nOHCKa OnTHMaJ1bHOH tfaCTHUbl 3TH
paCtfeTbl noKa3aJ1H tfTO HeB03MO)l(HO OllHOBpeMeHHO l106HTbC5I HyneBblx panHaJ1bHblX
Kone6aHHH H MaKCHMaJ1bHOro Ha60pa meprHH MHHHMaJ1bHOe 3HatfeHHe ueneBOH ltlgtYHKUHH
OKa3aJ10Cb paBHblM 07 tfTO COOTBeTCTBOBaJ10 IaCTHue C Ar = 05 CM H jI = 200BQ B
MOMeHT cTapTa na IaCTHua HMena CnellYlOlllHe napaMeTpbl r=3142 CM r=141 CM
jI =-400BQ Ha pHC 1 nOKa3aHa TpaeKTOpHSI OnTHMaJ1bHOH tfaCniUbl B TetfeHHe nepBblx Tpex
060pOTOB
32 AKcenmalfc61 l(elfmpaJIblfOii o6Jlacmu YCKopUmeJlR
)(mt paCtfeTa aKcenTaHCOB CHatfaJ1a reHepHpOBaJ1HCb cnYtfaHHblM 06pa30M Ha60Pbl 100
tfaCTHU B 5-MepHoM ltlgta30BOM 06beMe (r r z z II) KOTOPblH OKPY)I(aJ1 OnTHMaJ1bHYIO
tfaCTHUY BapbHpOBaJ1HCb CPa30BlUI npOT5I)I(eHHOCTb cryCTKa ero nOnepetfHble pa3Mepbl H
0pHeHTaUH5I oceH 3nnHnCOB Ha ltlgta30BbIX nnOCKOCT5IX 3aTeM 3TH Ha60Pbl tfaCTHU
YCKopnnHCb B TetfeHHe Tpex 060pOTOB B KatfeCTBe orpaHHtfeHHH onpellen5llOlllHX 3HatfeHHn
aKcenTaHCOB UHKnOTpOHa B llaHHOM cnYtfae 6bInH HCnOnb30BaHbl CnellYlOlllHe nOnO)l(eHIDI
bull panHaJIbHlUI npOTn)l(eHHOCTb CBo60llHOH OT tfaCTHU 30HbI Me)l(llY HH)I(eKTHpyeMblM
nYtfKOM H COBepWHBWHM OllHH 060pOT llOn)l(Ha 6bITb He MeHee 1a CM~
bull aKCHaJIbHblH pa3Mep nYIKa He llOn)l(eH npeBbIwaTb 075 anepTYpbl A-3neKTpOlla
B pesynbTaTe paCtfeTOB 6bInH nonYieHbI CnellYlOlllHe 3HatfeHHSI aKcenTaHCOB
- panHaJIbHblH Er=1261t MMmiddotMPan
- aKCHaJIbHblH Ez= 251t MMmiddotMPan
- ltlgta30BbIH EIf= 30deg BQ
3
Ha pHc2 npHBetteHbI Ha 4gta30BbIX nJIOCKOCTHX paztHaJIbHOrO H aKCHaJIbHOro ttBH)I(eHIDI
CTapTOBbIe nOJIO)l(eHHj 100 qaCTHU COOTBeTCTBYlOlllHe aKcenTaHcaM ueHTPaJIbHOH 06JIaCTH
UHKJIorpoHa Ha pHC) nOKa3aHbl nepBbIe 060pOTbi 100 qaCTHU 3anOJIHHBWHX aKcenTaHC
UHKJIorpoHa Ha PHC4 npHBetteHbI aKCHaJIbHbIe rpaeKTOpHH 3THX )l(e qaCTHU 3aMeTHO
YBeJIHqeHHe aMnJIHTYtt aKCHaJIbHblX KOJIe6aHHH npHMepHo B ) pa3a BO BpeMj nepBblX ttByx
o60poTOB npHqHHa pOCTa aKCHaJIbHbIX aMnJIHTYtt OCTaJIaCb nOKa HeBbIjCHeHHoH BecbMa
BepOjITHO ITO 3TOT 4gtaKT CBj3aH C TeM ITO qaCTOTbI CB060ttHbIX nOnepeqHblX KOJIe6aHHH Ha
nepBOM o60poTe 6JIH3KH (Q =11 Qz =105) a Ha BTOPOM H nOCJIettylOlllHx 060poTax
npaKTHqeCKH COBnaztaIOT (Q ~Qz ~12) no cpaBHeHHIO C npettblttYlllHM BapHaHTOM UHKJIorpoHa YBeJIHqeHHe 3HeprHH
HH)I(eKUHH H YMeHbweHHe KpaTHoCTH YCKopeHHj npHBeJIH K CYllleCTBeHHOMY YBeJIHqeHHIO
(B 7 pa3) paztHaJIbHOro aKcenTaHca tta)l(e npH 60JIee )l(eCTKOM ero onpetteJIeHHH (paHee
tteKJIapHpOBaJIaCb cBo60ttHM 30Ha 5 CM) lttraquoa30BbIH aKcemaHC TaKgtKe BbIpOC H OqeBHttHO qro
OH MO)l(eT 6bITb ellle YBeJIHqeH eCJIH paztHaJIbHblH 3MHTTaHC HH)I(eKTHpyeMoro nyqKa He
6ytteT npeBbIwaTb 1001tdegMMoMpatt AKCHaJIbHblH aKcemaHC npaKTHqeCKH He H3MeHHJICj H
npHqHHa 3TOro 3aKJIlOqaeTcj B pOCTe aKCHaJIbHbIX aMnJIHTYtt no HeBbljCHeHHbIM nOKa tt0
KOHua npHqHHaM B03MO)l(HO lfTO MbI Ha6JIIOttaeM tteHCTBHe Pa3HOCTHOro pe30HaHCa CBj3H
Qr - Qz =0
PHC 1 nepBbIe rpH 060poTa ueHrpaJIbHOH qaCTHUbI 4gta30BOro 06beMa
2S
20 bull ofmiddotmiddot bull bulltbull-r
a bullbullbullbullbull bull - a)- 05
04
02
E -200 a
-02
-04
fIIbullbull bull -shy
bullbull1 bull cshy ~ 4 ~
b) 00 ----------------------------1
300 305 310 315 320 325 330 -04 -02 00 02 04
R(cm) Z(cm)
PHC 2 CTaproBble nOJIO)l(eHHj nyqKa Ha 4gta30BblX nJIOCKOCTHX panHaJIbHoro a) H
aKCHaJIbHOro 6) ttBH)I(eHHj llnolllattH 3aHHMaeMbie nyqKOM COOTBeTCTBYfOT aKcellT8HCaM
UHKJIorpOHa
4
10
30
30 40 50 X(cm)
PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu
aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa
z (em)
250
Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125
I I I
200 -----~------r----------
1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy
100
50
00
-50
100
150
200
250 00
I I
50 100 150 200 250 300 350 400 450 500 T URN S
PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa
paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa
5
33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT
nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX
UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl
HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar
HHTerpHpoBaHH~ 05deg)
YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)
TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy
pe30HaTopa
JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ
JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method
fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no
MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble
qaCTOTbI
1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T
a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT
paJlHyca
50
40
30
CL 20c C) Q) 10 ~ Q) Ul ro 0
J CL
-10
-20
~ 1
l I 1
I
I I i 1 i
I
ii L Iii
A I
II I i r- shy~ I
i-~
~I~ I I
II
-30 02 04 06 08 10 12 14 16
Radius (m)
PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl
Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl
CB06o)lHhIX KOJIe6aHHH
6
8
2 6gt (J)
~ c 0 4(J)
13 I C
gtshy0) I 2(J) C
UJ
o 02 08 10 12 14 16
-- f------L----04 06
I I
V
1
~
I
Radius (m)
PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca
125
120
115
N a (j 110
105
100
-- ~L--- ~~~ i-
~jyW~ ~
V Qz Qr
V I
I
I
02 04 06 08 10 12 14 16
Radius(m)
PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH
CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B
HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH
7
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
21 Oue1lKa 8JlUJlIIUJI nOnepelf1l0l0 npocmpa1lCm6e1l1I0l0 3apRoa TaK KaK np06JIeMa nonepellHoro npoc-rpaHCTBeHHoro 3apRlla llOMHHHPYeT Ha HH3KHX
meprHRX nOCJIellyIDmHe paCqeTbI ClleJIaHbIllJIR 3HeprHH HIDKeKQHH AeHcTBHe
nOnepeqHoro npOCTPaHCTBeHHoro 3aplIlla npolIBJIlIeTCR B BHlle YMeHbllIeHHR qaCTOTbI
6eTa-rpoHHbIX KOJIe6aHHH BHaqaJIe npOH3BelleM OQeHKY CllBHra qaCTOT BOCnOJIb30BaBllIHCb
CJIellYIOmHMH qopMYJIaMH[2]
Q2 __ Q2 _ 4nroar2x ir Z 0 y3 ir + amp rlle X - nJIOTHOCTb npoc-rpaHCTBeHHOro 3apMa npH
3JlJlHnTHqeCKOM nOnepeqHOM CeqeHHH cryCTKa H paBHOMepHOM pacnpelleJIeHHH 3aplIlla
paBHa
81
Qzo=lO p=0023 rod=O 7671016 CM (KJIaCCHqeCKHH PaAHYC lleHTpOHa)
r=cl2Jif=1l575 CM
ir=2 CM amp=2 CM - pallHaJIbHbIH aKCHaJIbHbIH pa3MepbI CryCTKa I1rp=nl6 Bll shyqa30BalI npOTlI)KeHHOCTb cryCTKa
3HaqeHHe aKCHaJIbHOH qaCTOTbI AJIlI TOKa 20 MA YMeHbllIHTClI Ha 03 qTQ llOnYCTHMO
AaJIee 6bIJIH npOH3BelleHbI oueHKH npelleJIbHoro TOKa (llJIR Tex )Ke napaMerpoB) C
HCnOJIb30BaHHeM UHJlHHllpHqeCKOH MOlleJIH nyqKa[3] npellnOJIaraIOmeH paBHoMepHYIO
nJIOTHOCTb 3aplIlla CJIellYlOmHe llOnymeHHR a) aKCHaJIbHalI qaCTOTa B ueH-rpe UHKJIo-rpOHa
MeHbllIe qeM roPH30HTaJIbHalI 6) aKcenTaHC YCTaHOBKH MHOro 60JIbllIe qeM 3MHTTaHC
nyqKa B) nyqOK crpynnHpoBaH C qa30BOH llIHPHHOH )rp npHBOART K q0PMYJIe
I - ~(iJI Rn2 (amp 12J2( f1 PJ lim - 4 Z oPLzo Roc 2rc)
10 - YHHBepCaJIbHbIH TOK AJIR lleH-rpOHOB 10 ~ 31 MA (py)10 -Alfven - TOK
COrJIaCHO 3TOH qopMYJIe npelleJIbHbIH TOK 1Um =22 MA
220ueIlKa OeiiCm6UJ1 npOOOllb1l0l0 npOCmpa1lCm6e1l1I0l0 3apROa BJIHlIHHe CHJI npOllOJIbHOro npoc-rpaHCTBeHHoro 3aplIlla npHBOllHT K pa36pocy 3HeprHH
nyqKa qTO MO)KeT npenlITCTBOBaTb pa3lleJIeHHIO Op6HT He06xollHMOMY llJIlI 3qqeKTHBHOrO
BbIBOlla Pa36poc 3HeprHH BbI3BaHHbIH npoc-rpaHCTBeHHbIM 3apRllOM He lIBJIReTClI JIHHeHHOH
qYHKQHeH qa30BOro pa3Mepa nyqKa
TIOJIHbIH pa36poc 3HepmH nOCJIe n o60pOTOB BbI3BaHHbIH JIHHeapH30BaHHOH qaCTblO
npoc-rpaHCTBeHHoro 3aplIlla MO)KHO oueHHTb no qopMYJIe[3] BbITeKaIOmeH H3 llHCKOBOH
2
28kn lt 1 gt 27f n I1tp Pmax
OueHKH 6bIJIH npOH3BelleHbI AJIlI cJIellyIDmHX llaHHblX
KOJIHqeCTBO 060pOTOB n=20 3max=O 126 lt[gt=20 MA pa36poc 3HeprHH COCTaBHJI
LJUsc=21 M3BHYKJIOH KOJIHqeCTBO 060pOTOB n=17 3max=0126 lt1gt=20 MA pa36poc 3HeprHH COCTaBHJI
LJUsc=15 M3BHYKJIOH nHHeHHalI qaCTb npoc-rpaHCTBeHHoro 3aplIlla MO)KeT 6bITb KOMneHcHpoBaHa flattopshy
pesoHaTOpoM AeHCTBHe HeJIHHeHHOH qaCTH np0llOJIbHoro npoCTPaHCTBeHHoro 3apRlla
2
npHBOllHT K OrpaHHtfeHHIO Ha npellenbHblH TOK nytfKa CB5I3aHHOMY C pa3lleneHHeM op6HT
BOcnonb3yeMcSI CnellYlOlllHM KpHTepHeM pa3lleneHH5I Op6HT[3]
I U r (I1rpJ fJrnav lt in28kO 2ft -T
rlle Vf KOHetfHlUI meprnSl in - npHHHMaJ1aCb paBHOH 03 H OnpelleAAeT llOnlO
HenHHeHHoro pa36poca HanpSl)l(eHH5I OT nHHeHHoro
OUsc(HeJlllHeilHbZU) 5 in t1Vsc(JlUHeUHbIU)
B pe3ynbTaTe npellenbHblH TOK llOnYCKalOlllHH pa3lleneHHe Op6HT npH n= 20 COCTaBHT
12MA
3 lJuCJleHHOe MO)JeJlHpOB8Hue
31 OnmUMaJlblf6le YCJl06UR OJlR UIfJICeKuuu uelfmpaJlblfOii QaCmUl(61
)1nSl paCtfeTOB llHHaMHKH nytfKa 6e3 YleTa npOCTpaHCTBeHHoro 3ap5llla HcnOnb30BaJ1aCb
nporpaMMa MOVIDE BHYTPH KOTOPOH HHTerpHpOBaJ1HCb nonHble ypaBHeHIDI llBH)I(eHH5I
3ap5l)l(eHHOH tfaCTHUbl B meKTpOMarHHTHOM none UHKnOTpOHa Bq-Hanp5)l(eHHe nHHeHHO
pocno OT 125 B ueHTpe llO 250 KB Ha BbIBOlle wHpHHa YCKOP5llOlllHX llleneH MeH5InaCb
nHHeHHo OT 2 llO 5 CM
B KatfeCTBe CTapTOBOro yrna llnSi paCIeTa llHHaMHKH tfaCTHU 6bIn B35IT a3HMYT ltP 0deg
KOTOPblH pacnOnO)l(eH 3a 375deg llO CepellHHbl nepBoH YCKopSilOllleH lllenH Ha 3TOM a3HMYTe B
TpexMepHoM ltlgta30BOM npocTpaHcTBe (r r II) rlle jI - CTapTOBlUI ltlgta3a tfaCTHUbl
OTHOCHTenbHO BQ-HanpSl)l(eHH5I npOBOllHnC5I nOHCK OnTHMaJ1bHOH tfaCTHUbl KOTOPlUl
o6nallaJ1a 6bl K KOHUY TpeTberO o6opoTa MHHHMaJ1bHOH aMnnHTYllOH panHaJ1bHblX
Kone6aHHH H HaXOllHnaCb B6nH3H MaKcHMYMa BQ-Hanp5l)l(eHH5I B MOMeHT nponeTa
YCKOP5llOlllHX llleneH leneBlUI ltlgtYHKUH5I BHlla X = Ar (CM) + jIlO (OB1I) rlle Ar - aMnnHrylla
pallHaJ1bHblX Kone6aHHH HcnOnb30BaJ1aCb B npouecce nOHCKa OnTHMaJ1bHOH tfaCTHUbl 3TH
paCtfeTbl noKa3aJ1H tfTO HeB03MO)l(HO OllHOBpeMeHHO l106HTbC5I HyneBblx panHaJ1bHblX
Kone6aHHH H MaKCHMaJ1bHOro Ha60pa meprHH MHHHMaJ1bHOe 3HatfeHHe ueneBOH ltlgtYHKUHH
OKa3aJ10Cb paBHblM 07 tfTO COOTBeTCTBOBaJ10 IaCTHue C Ar = 05 CM H jI = 200BQ B
MOMeHT cTapTa na IaCTHua HMena CnellYlOlllHe napaMeTpbl r=3142 CM r=141 CM
jI =-400BQ Ha pHC 1 nOKa3aHa TpaeKTOpHSI OnTHMaJ1bHOH tfaCniUbl B TetfeHHe nepBblx Tpex
060pOTOB
32 AKcenmalfc61 l(elfmpaJIblfOii o6Jlacmu YCKopUmeJlR
)(mt paCtfeTa aKcenTaHCOB CHatfaJ1a reHepHpOBaJ1HCb cnYtfaHHblM 06pa30M Ha60Pbl 100
tfaCTHU B 5-MepHoM ltlgta30BOM 06beMe (r r z z II) KOTOPblH OKPY)I(aJ1 OnTHMaJ1bHYIO
tfaCTHUY BapbHpOBaJ1HCb CPa30BlUI npOT5I)I(eHHOCTb cryCTKa ero nOnepetfHble pa3Mepbl H
0pHeHTaUH5I oceH 3nnHnCOB Ha ltlgta30BbIX nnOCKOCT5IX 3aTeM 3TH Ha60Pbl tfaCTHU
YCKopnnHCb B TetfeHHe Tpex 060pOTOB B KatfeCTBe orpaHHtfeHHH onpellen5llOlllHX 3HatfeHHn
aKcenTaHCOB UHKnOTpOHa B llaHHOM cnYtfae 6bInH HCnOnb30BaHbl CnellYlOlllHe nOnO)l(eHIDI
bull panHaJIbHlUI npOTn)l(eHHOCTb CBo60llHOH OT tfaCTHU 30HbI Me)l(llY HH)I(eKTHpyeMblM
nYtfKOM H COBepWHBWHM OllHH 060pOT llOn)l(Ha 6bITb He MeHee 1a CM~
bull aKCHaJIbHblH pa3Mep nYIKa He llOn)l(eH npeBbIwaTb 075 anepTYpbl A-3neKTpOlla
B pesynbTaTe paCtfeTOB 6bInH nonYieHbI CnellYlOlllHe 3HatfeHHSI aKcenTaHCOB
- panHaJIbHblH Er=1261t MMmiddotMPan
- aKCHaJIbHblH Ez= 251t MMmiddotMPan
- ltlgta30BbIH EIf= 30deg BQ
3
Ha pHc2 npHBetteHbI Ha 4gta30BbIX nJIOCKOCTHX paztHaJIbHOrO H aKCHaJIbHOro ttBH)I(eHIDI
CTapTOBbIe nOJIO)l(eHHj 100 qaCTHU COOTBeTCTBYlOlllHe aKcenTaHcaM ueHTPaJIbHOH 06JIaCTH
UHKJIorpoHa Ha pHC) nOKa3aHbl nepBbIe 060pOTbi 100 qaCTHU 3anOJIHHBWHX aKcenTaHC
UHKJIorpoHa Ha PHC4 npHBetteHbI aKCHaJIbHbIe rpaeKTOpHH 3THX )l(e qaCTHU 3aMeTHO
YBeJIHqeHHe aMnJIHTYtt aKCHaJIbHblX KOJIe6aHHH npHMepHo B ) pa3a BO BpeMj nepBblX ttByx
o60poTOB npHqHHa pOCTa aKCHaJIbHbIX aMnJIHTYtt OCTaJIaCb nOKa HeBbIjCHeHHoH BecbMa
BepOjITHO ITO 3TOT 4gtaKT CBj3aH C TeM ITO qaCTOTbI CB060ttHbIX nOnepeqHblX KOJIe6aHHH Ha
nepBOM o60poTe 6JIH3KH (Q =11 Qz =105) a Ha BTOPOM H nOCJIettylOlllHx 060poTax
npaKTHqeCKH COBnaztaIOT (Q ~Qz ~12) no cpaBHeHHIO C npettblttYlllHM BapHaHTOM UHKJIorpoHa YBeJIHqeHHe 3HeprHH
HH)I(eKUHH H YMeHbweHHe KpaTHoCTH YCKopeHHj npHBeJIH K CYllleCTBeHHOMY YBeJIHqeHHIO
(B 7 pa3) paztHaJIbHOro aKcenTaHca tta)l(e npH 60JIee )l(eCTKOM ero onpetteJIeHHH (paHee
tteKJIapHpOBaJIaCb cBo60ttHM 30Ha 5 CM) lttraquoa30BbIH aKcemaHC TaKgtKe BbIpOC H OqeBHttHO qro
OH MO)l(eT 6bITb ellle YBeJIHqeH eCJIH paztHaJIbHblH 3MHTTaHC HH)I(eKTHpyeMoro nyqKa He
6ytteT npeBbIwaTb 1001tdegMMoMpatt AKCHaJIbHblH aKcemaHC npaKTHqeCKH He H3MeHHJICj H
npHqHHa 3TOro 3aKJIlOqaeTcj B pOCTe aKCHaJIbHbIX aMnJIHTYtt no HeBbljCHeHHbIM nOKa tt0
KOHua npHqHHaM B03MO)l(HO lfTO MbI Ha6JIIOttaeM tteHCTBHe Pa3HOCTHOro pe30HaHCa CBj3H
Qr - Qz =0
PHC 1 nepBbIe rpH 060poTa ueHrpaJIbHOH qaCTHUbI 4gta30BOro 06beMa
2S
20 bull ofmiddotmiddot bull bulltbull-r
a bullbullbullbullbull bull - a)- 05
04
02
E -200 a
-02
-04
fIIbullbull bull -shy
bullbull1 bull cshy ~ 4 ~
b) 00 ----------------------------1
300 305 310 315 320 325 330 -04 -02 00 02 04
R(cm) Z(cm)
PHC 2 CTaproBble nOJIO)l(eHHj nyqKa Ha 4gta30BblX nJIOCKOCTHX panHaJIbHoro a) H
aKCHaJIbHOro 6) ttBH)I(eHHj llnolllattH 3aHHMaeMbie nyqKOM COOTBeTCTBYfOT aKcellT8HCaM
UHKJIorpOHa
4
10
30
30 40 50 X(cm)
PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu
aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa
z (em)
250
Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125
I I I
200 -----~------r----------
1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy
100
50
00
-50
100
150
200
250 00
I I
50 100 150 200 250 300 350 400 450 500 T URN S
PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa
paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa
5
33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT
nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX
UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl
HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar
HHTerpHpoBaHH~ 05deg)
YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)
TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy
pe30HaTopa
JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ
JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method
fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no
MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble
qaCTOTbI
1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T
a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT
paJlHyca
50
40
30
CL 20c C) Q) 10 ~ Q) Ul ro 0
J CL
-10
-20
~ 1
l I 1
I
I I i 1 i
I
ii L Iii
A I
II I i r- shy~ I
i-~
~I~ I I
II
-30 02 04 06 08 10 12 14 16
Radius (m)
PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl
Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl
CB06o)lHhIX KOJIe6aHHH
6
8
2 6gt (J)
~ c 0 4(J)
13 I C
gtshy0) I 2(J) C
UJ
o 02 08 10 12 14 16
-- f------L----04 06
I I
V
1
~
I
Radius (m)
PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca
125
120
115
N a (j 110
105
100
-- ~L--- ~~~ i-
~jyW~ ~
V Qz Qr
V I
I
I
02 04 06 08 10 12 14 16
Radius(m)
PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH
CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B
HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH
7
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
npHBOllHT K OrpaHHtfeHHIO Ha npellenbHblH TOK nytfKa CB5I3aHHOMY C pa3lleneHHeM op6HT
BOcnonb3yeMcSI CnellYlOlllHM KpHTepHeM pa3lleneHH5I Op6HT[3]
I U r (I1rpJ fJrnav lt in28kO 2ft -T
rlle Vf KOHetfHlUI meprnSl in - npHHHMaJ1aCb paBHOH 03 H OnpelleAAeT llOnlO
HenHHeHHoro pa36poca HanpSl)l(eHH5I OT nHHeHHoro
OUsc(HeJlllHeilHbZU) 5 in t1Vsc(JlUHeUHbIU)
B pe3ynbTaTe npellenbHblH TOK llOnYCKalOlllHH pa3lleneHHe Op6HT npH n= 20 COCTaBHT
12MA
3 lJuCJleHHOe MO)JeJlHpOB8Hue
31 OnmUMaJlblf6le YCJl06UR OJlR UIfJICeKuuu uelfmpaJlblfOii QaCmUl(61
)1nSl paCtfeTOB llHHaMHKH nytfKa 6e3 YleTa npOCTpaHCTBeHHoro 3ap5llla HcnOnb30BaJ1aCb
nporpaMMa MOVIDE BHYTPH KOTOPOH HHTerpHpOBaJ1HCb nonHble ypaBHeHIDI llBH)I(eHH5I
3ap5l)l(eHHOH tfaCTHUbl B meKTpOMarHHTHOM none UHKnOTpOHa Bq-Hanp5)l(eHHe nHHeHHO
pocno OT 125 B ueHTpe llO 250 KB Ha BbIBOlle wHpHHa YCKOP5llOlllHX llleneH MeH5InaCb
nHHeHHo OT 2 llO 5 CM
B KatfeCTBe CTapTOBOro yrna llnSi paCIeTa llHHaMHKH tfaCTHU 6bIn B35IT a3HMYT ltP 0deg
KOTOPblH pacnOnO)l(eH 3a 375deg llO CepellHHbl nepBoH YCKopSilOllleH lllenH Ha 3TOM a3HMYTe B
TpexMepHoM ltlgta30BOM npocTpaHcTBe (r r II) rlle jI - CTapTOBlUI ltlgta3a tfaCTHUbl
OTHOCHTenbHO BQ-HanpSl)l(eHH5I npOBOllHnC5I nOHCK OnTHMaJ1bHOH tfaCTHUbl KOTOPlUl
o6nallaJ1a 6bl K KOHUY TpeTberO o6opoTa MHHHMaJ1bHOH aMnnHTYllOH panHaJ1bHblX
Kone6aHHH H HaXOllHnaCb B6nH3H MaKcHMYMa BQ-Hanp5l)l(eHH5I B MOMeHT nponeTa
YCKOP5llOlllHX llleneH leneBlUI ltlgtYHKUH5I BHlla X = Ar (CM) + jIlO (OB1I) rlle Ar - aMnnHrylla
pallHaJ1bHblX Kone6aHHH HcnOnb30BaJ1aCb B npouecce nOHCKa OnTHMaJ1bHOH tfaCTHUbl 3TH
paCtfeTbl noKa3aJ1H tfTO HeB03MO)l(HO OllHOBpeMeHHO l106HTbC5I HyneBblx panHaJ1bHblX
Kone6aHHH H MaKCHMaJ1bHOro Ha60pa meprHH MHHHMaJ1bHOe 3HatfeHHe ueneBOH ltlgtYHKUHH
OKa3aJ10Cb paBHblM 07 tfTO COOTBeTCTBOBaJ10 IaCTHue C Ar = 05 CM H jI = 200BQ B
MOMeHT cTapTa na IaCTHua HMena CnellYlOlllHe napaMeTpbl r=3142 CM r=141 CM
jI =-400BQ Ha pHC 1 nOKa3aHa TpaeKTOpHSI OnTHMaJ1bHOH tfaCniUbl B TetfeHHe nepBblx Tpex
060pOTOB
32 AKcenmalfc61 l(elfmpaJIblfOii o6Jlacmu YCKopUmeJlR
)(mt paCtfeTa aKcenTaHCOB CHatfaJ1a reHepHpOBaJ1HCb cnYtfaHHblM 06pa30M Ha60Pbl 100
tfaCTHU B 5-MepHoM ltlgta30BOM 06beMe (r r z z II) KOTOPblH OKPY)I(aJ1 OnTHMaJ1bHYIO
tfaCTHUY BapbHpOBaJ1HCb CPa30BlUI npOT5I)I(eHHOCTb cryCTKa ero nOnepetfHble pa3Mepbl H
0pHeHTaUH5I oceH 3nnHnCOB Ha ltlgta30BbIX nnOCKOCT5IX 3aTeM 3TH Ha60Pbl tfaCTHU
YCKopnnHCb B TetfeHHe Tpex 060pOTOB B KatfeCTBe orpaHHtfeHHH onpellen5llOlllHX 3HatfeHHn
aKcenTaHCOB UHKnOTpOHa B llaHHOM cnYtfae 6bInH HCnOnb30BaHbl CnellYlOlllHe nOnO)l(eHIDI
bull panHaJIbHlUI npOTn)l(eHHOCTb CBo60llHOH OT tfaCTHU 30HbI Me)l(llY HH)I(eKTHpyeMblM
nYtfKOM H COBepWHBWHM OllHH 060pOT llOn)l(Ha 6bITb He MeHee 1a CM~
bull aKCHaJIbHblH pa3Mep nYIKa He llOn)l(eH npeBbIwaTb 075 anepTYpbl A-3neKTpOlla
B pesynbTaTe paCtfeTOB 6bInH nonYieHbI CnellYlOlllHe 3HatfeHHSI aKcenTaHCOB
- panHaJIbHblH Er=1261t MMmiddotMPan
- aKCHaJIbHblH Ez= 251t MMmiddotMPan
- ltlgta30BbIH EIf= 30deg BQ
3
Ha pHc2 npHBetteHbI Ha 4gta30BbIX nJIOCKOCTHX paztHaJIbHOrO H aKCHaJIbHOro ttBH)I(eHIDI
CTapTOBbIe nOJIO)l(eHHj 100 qaCTHU COOTBeTCTBYlOlllHe aKcenTaHcaM ueHTPaJIbHOH 06JIaCTH
UHKJIorpoHa Ha pHC) nOKa3aHbl nepBbIe 060pOTbi 100 qaCTHU 3anOJIHHBWHX aKcenTaHC
UHKJIorpoHa Ha PHC4 npHBetteHbI aKCHaJIbHbIe rpaeKTOpHH 3THX )l(e qaCTHU 3aMeTHO
YBeJIHqeHHe aMnJIHTYtt aKCHaJIbHblX KOJIe6aHHH npHMepHo B ) pa3a BO BpeMj nepBblX ttByx
o60poTOB npHqHHa pOCTa aKCHaJIbHbIX aMnJIHTYtt OCTaJIaCb nOKa HeBbIjCHeHHoH BecbMa
BepOjITHO ITO 3TOT 4gtaKT CBj3aH C TeM ITO qaCTOTbI CB060ttHbIX nOnepeqHblX KOJIe6aHHH Ha
nepBOM o60poTe 6JIH3KH (Q =11 Qz =105) a Ha BTOPOM H nOCJIettylOlllHx 060poTax
npaKTHqeCKH COBnaztaIOT (Q ~Qz ~12) no cpaBHeHHIO C npettblttYlllHM BapHaHTOM UHKJIorpoHa YBeJIHqeHHe 3HeprHH
HH)I(eKUHH H YMeHbweHHe KpaTHoCTH YCKopeHHj npHBeJIH K CYllleCTBeHHOMY YBeJIHqeHHIO
(B 7 pa3) paztHaJIbHOro aKcenTaHca tta)l(e npH 60JIee )l(eCTKOM ero onpetteJIeHHH (paHee
tteKJIapHpOBaJIaCb cBo60ttHM 30Ha 5 CM) lttraquoa30BbIH aKcemaHC TaKgtKe BbIpOC H OqeBHttHO qro
OH MO)l(eT 6bITb ellle YBeJIHqeH eCJIH paztHaJIbHblH 3MHTTaHC HH)I(eKTHpyeMoro nyqKa He
6ytteT npeBbIwaTb 1001tdegMMoMpatt AKCHaJIbHblH aKcemaHC npaKTHqeCKH He H3MeHHJICj H
npHqHHa 3TOro 3aKJIlOqaeTcj B pOCTe aKCHaJIbHbIX aMnJIHTYtt no HeBbljCHeHHbIM nOKa tt0
KOHua npHqHHaM B03MO)l(HO lfTO MbI Ha6JIIOttaeM tteHCTBHe Pa3HOCTHOro pe30HaHCa CBj3H
Qr - Qz =0
PHC 1 nepBbIe rpH 060poTa ueHrpaJIbHOH qaCTHUbI 4gta30BOro 06beMa
2S
20 bull ofmiddotmiddot bull bulltbull-r
a bullbullbullbullbull bull - a)- 05
04
02
E -200 a
-02
-04
fIIbullbull bull -shy
bullbull1 bull cshy ~ 4 ~
b) 00 ----------------------------1
300 305 310 315 320 325 330 -04 -02 00 02 04
R(cm) Z(cm)
PHC 2 CTaproBble nOJIO)l(eHHj nyqKa Ha 4gta30BblX nJIOCKOCTHX panHaJIbHoro a) H
aKCHaJIbHOro 6) ttBH)I(eHHj llnolllattH 3aHHMaeMbie nyqKOM COOTBeTCTBYfOT aKcellT8HCaM
UHKJIorpOHa
4
10
30
30 40 50 X(cm)
PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu
aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa
z (em)
250
Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125
I I I
200 -----~------r----------
1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy
100
50
00
-50
100
150
200
250 00
I I
50 100 150 200 250 300 350 400 450 500 T URN S
PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa
paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa
5
33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT
nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX
UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl
HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar
HHTerpHpoBaHH~ 05deg)
YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)
TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy
pe30HaTopa
JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ
JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method
fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no
MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble
qaCTOTbI
1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T
a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT
paJlHyca
50
40
30
CL 20c C) Q) 10 ~ Q) Ul ro 0
J CL
-10
-20
~ 1
l I 1
I
I I i 1 i
I
ii L Iii
A I
II I i r- shy~ I
i-~
~I~ I I
II
-30 02 04 06 08 10 12 14 16
Radius (m)
PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl
Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl
CB06o)lHhIX KOJIe6aHHH
6
8
2 6gt (J)
~ c 0 4(J)
13 I C
gtshy0) I 2(J) C
UJ
o 02 08 10 12 14 16
-- f------L----04 06
I I
V
1
~
I
Radius (m)
PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca
125
120
115
N a (j 110
105
100
-- ~L--- ~~~ i-
~jyW~ ~
V Qz Qr
V I
I
I
02 04 06 08 10 12 14 16
Radius(m)
PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH
CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B
HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH
7
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
Ha pHc2 npHBetteHbI Ha 4gta30BbIX nJIOCKOCTHX paztHaJIbHOrO H aKCHaJIbHOro ttBH)I(eHIDI
CTapTOBbIe nOJIO)l(eHHj 100 qaCTHU COOTBeTCTBYlOlllHe aKcenTaHcaM ueHTPaJIbHOH 06JIaCTH
UHKJIorpoHa Ha pHC) nOKa3aHbl nepBbIe 060pOTbi 100 qaCTHU 3anOJIHHBWHX aKcenTaHC
UHKJIorpoHa Ha PHC4 npHBetteHbI aKCHaJIbHbIe rpaeKTOpHH 3THX )l(e qaCTHU 3aMeTHO
YBeJIHqeHHe aMnJIHTYtt aKCHaJIbHblX KOJIe6aHHH npHMepHo B ) pa3a BO BpeMj nepBblX ttByx
o60poTOB npHqHHa pOCTa aKCHaJIbHbIX aMnJIHTYtt OCTaJIaCb nOKa HeBbIjCHeHHoH BecbMa
BepOjITHO ITO 3TOT 4gtaKT CBj3aH C TeM ITO qaCTOTbI CB060ttHbIX nOnepeqHblX KOJIe6aHHH Ha
nepBOM o60poTe 6JIH3KH (Q =11 Qz =105) a Ha BTOPOM H nOCJIettylOlllHx 060poTax
npaKTHqeCKH COBnaztaIOT (Q ~Qz ~12) no cpaBHeHHIO C npettblttYlllHM BapHaHTOM UHKJIorpoHa YBeJIHqeHHe 3HeprHH
HH)I(eKUHH H YMeHbweHHe KpaTHoCTH YCKopeHHj npHBeJIH K CYllleCTBeHHOMY YBeJIHqeHHIO
(B 7 pa3) paztHaJIbHOro aKcenTaHca tta)l(e npH 60JIee )l(eCTKOM ero onpetteJIeHHH (paHee
tteKJIapHpOBaJIaCb cBo60ttHM 30Ha 5 CM) lttraquoa30BbIH aKcemaHC TaKgtKe BbIpOC H OqeBHttHO qro
OH MO)l(eT 6bITb ellle YBeJIHqeH eCJIH paztHaJIbHblH 3MHTTaHC HH)I(eKTHpyeMoro nyqKa He
6ytteT npeBbIwaTb 1001tdegMMoMpatt AKCHaJIbHblH aKcemaHC npaKTHqeCKH He H3MeHHJICj H
npHqHHa 3TOro 3aKJIlOqaeTcj B pOCTe aKCHaJIbHbIX aMnJIHTYtt no HeBbljCHeHHbIM nOKa tt0
KOHua npHqHHaM B03MO)l(HO lfTO MbI Ha6JIIOttaeM tteHCTBHe Pa3HOCTHOro pe30HaHCa CBj3H
Qr - Qz =0
PHC 1 nepBbIe rpH 060poTa ueHrpaJIbHOH qaCTHUbI 4gta30BOro 06beMa
2S
20 bull ofmiddotmiddot bull bulltbull-r
a bullbullbullbullbull bull - a)- 05
04
02
E -200 a
-02
-04
fIIbullbull bull -shy
bullbull1 bull cshy ~ 4 ~
b) 00 ----------------------------1
300 305 310 315 320 325 330 -04 -02 00 02 04
R(cm) Z(cm)
PHC 2 CTaproBble nOJIO)l(eHHj nyqKa Ha 4gta30BblX nJIOCKOCTHX panHaJIbHoro a) H
aKCHaJIbHOro 6) ttBH)I(eHHj llnolllattH 3aHHMaeMbie nyqKOM COOTBeTCTBYfOT aKcellT8HCaM
UHKJIorpOHa
4
10
30
30 40 50 X(cm)
PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu
aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa
z (em)
250
Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125
I I I
200 -----~------r----------
1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy
100
50
00
-50
100
150
200
250 00
I I
50 100 150 200 250 300 350 400 450 500 T URN S
PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa
paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa
5
33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT
nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX
UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl
HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar
HHTerpHpoBaHH~ 05deg)
YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)
TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy
pe30HaTopa
JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ
JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method
fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no
MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble
qaCTOTbI
1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T
a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT
paJlHyca
50
40
30
CL 20c C) Q) 10 ~ Q) Ul ro 0
J CL
-10
-20
~ 1
l I 1
I
I I i 1 i
I
ii L Iii
A I
II I i r- shy~ I
i-~
~I~ I I
II
-30 02 04 06 08 10 12 14 16
Radius (m)
PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl
Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl
CB06o)lHhIX KOJIe6aHHH
6
8
2 6gt (J)
~ c 0 4(J)
13 I C
gtshy0) I 2(J) C
UJ
o 02 08 10 12 14 16
-- f------L----04 06
I I
V
1
~
I
Radius (m)
PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca
125
120
115
N a (j 110
105
100
-- ~L--- ~~~ i-
~jyW~ ~
V Qz Qr
V I
I
I
02 04 06 08 10 12 14 16
Radius(m)
PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH
CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B
HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH
7
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
10
30
30 40 50 X(cm)
PlIC 3 IIepBble TplI o6opoTa 100 qaCTlIlI npellCTaBJUHOIlllIX tPa30BbIH 06beM nyqKa paBHblu
aKcenTaHcy lIeHTPaJIbHOH 06JIaCTlI lIlIKJIOTpOHa
z (em)
250
Axial t~ajectory dturn= 01 D Q= 1 U=12S h=12 Fmi= -43 Fma= -23 f~ 4125
I I I
200 -----~------r----------
1 50 - - - shy ~ - - - - - -- - - - - - ~ - - - shy
100
50
00
-50
100
150
200
250 00
I I
50 100 150 200 250 300 350 400 450 500 T URN S
PlIC 4 AKCIHUlbHble TPaeKTOplIlI 100 qaCTlIlI npellCTaBJUHOIlllIX tPa3OBhIH 06beM llyqKa
paBHbIU aKcenTaHCY lIeHTpaJIbHOH o6JIacTlI lIlIKJIOTPOHa
5
33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT
nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX
UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl
HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar
HHTerpHpoBaHH~ 05deg)
YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)
TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy
pe30HaTopa
JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ
JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method
fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no
MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble
qaCTOTbI
1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T
a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT
paJlHyca
50
40
30
CL 20c C) Q) 10 ~ Q) Ul ro 0
J CL
-10
-20
~ 1
l I 1
I
I I i 1 i
I
ii L Iii
A I
II I i r- shy~ I
i-~
~I~ I I
II
-30 02 04 06 08 10 12 14 16
Radius (m)
PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl
Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl
CB06o)lHhIX KOJIe6aHHH
6
8
2 6gt (J)
~ c 0 4(J)
13 I C
gtshy0) I 2(J) C
UJ
o 02 08 10 12 14 16
-- f------L----04 06
I I
V
1
~
I
Radius (m)
PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca
125
120
115
N a (j 110
105
100
-- ~L--- ~~~ i-
~jyW~ ~
V Qz Qr
V I
I
I
02 04 06 08 10 12 14 16
Radius(m)
PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH
CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B
HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH
7
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
33 3tjJljJeKmbl npocmpaHcm8eHHolo 3apRoa )1ml paCqeTOB HCnOJIb30BaJIC~ nporpaMMHblH KOMnJIeKc[4] B OCHOBe KOToporo JIe)l(HT
nporpaMMa NAJO [5] C03JlaHHM JlJI~ paCqeTOB JlHHaMHKH qaCTHQ B CeKTOpHblX
UHKJIOTpOHax GANIL B OCHOBe nporpaMMbl
HHTerpHpOBaHHe JlHltpltpepeHUHaJIbHbIX ypaBHeHHH MeTOJlOM PYHre-Kyrra (mar
HHTerpHpoBaHH~ 05deg)
YCKopeHHe - B npH6JIH)l(eHHH TOHKHX JIHH3 (nocTO~HHM CKOPOCTb H KoopJJHHaTa)
TOJIqKH B QeHTpe yCKop~IDIQeH IQeJIH HMeeTC~ B03MO)l(HOCTb pa3MeIQeHH~ flattopshy
pe30HaTopa
JJJI~ MOJJeJIHpOBaHH~ nyqKa HCnOJIb3yeTC~ 100+200 qaCTHQ
JleHCTBHe npocTpaHcTBeHHoro 3ap~JJa yqHTblBaeTC~ 8 pa3 Ha o6opoTe MCnOJIb3yeTC~ equivalent continuous method
fIporpaMMa JJonOJIHeHa nOJJnporpaMMaMH BbllmCJI~IDIQHMH H30xpOHHoe nOJIe no
MeTOJJY rOpJlOHa KOppeKTHpyIDIQHMH paCqeTHOe nOJIe BblqHCJI~IDIQHMH 6eTaTpoHHble
qaCTOTbI
1mI paCqeTOB HCnOJIb30BaJIOCb H30xpOHHoe nOJIe npeJJCTaBJIeHHOe B pa60Te[ 1] Ha60p meprHH npoHcxoJJHJI B TeqeHHe 20 060pOTOB B KaqeCTBe cTapTOBoro yrJIa 6bIJI B3~T
a3HMYT qgt = - 45deg Ha pHc5 ltpa3a UeHTpaJIbHOH qaCTHllbI nOKa3aHa B 3aBHCHMOCTH OT
paJlHyca
50
40
30
CL 20c C) Q) 10 ~ Q) Ul ro 0
J CL
-10
-20
~ 1
l I 1
I
I I i 1 i
I
ii L Iii
A I
II I i r- shy~ I
i-~
~I~ I I
II
-30 02 04 06 08 10 12 14 16
Radius (m)
PHC 5 ltlgta30BOe JlBH)l(eHHe lleHTpaJIbHOH qaCTHlbl
Ha pHC 6 )laRa 3aBHCHMOCTb 3HeprHH QeHTpaJIhHoH qaCTHQhI OT PMHyca Ha pHc7 - qaCTOThl
CB06o)lHhIX KOJIe6aHHH
6
8
2 6gt (J)
~ c 0 4(J)
13 I C
gtshy0) I 2(J) C
UJ
o 02 08 10 12 14 16
-- f------L----04 06
I I
V
1
~
I
Radius (m)
PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca
125
120
115
N a (j 110
105
100
-- ~L--- ~~~ i-
~jyW~ ~
V Qz Qr
V I
I
I
02 04 06 08 10 12 14 16
Radius(m)
PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH
CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B
HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH
7
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
8
2 6gt (J)
~ c 0 4(J)
13 I C
gtshy0) I 2(J) C
UJ
o 02 08 10 12 14 16
-- f------L----04 06
I I
V
1
~
I
Radius (m)
PHC 6 3asHcHMoCTb meprHH ueHTpanbHoH qaCTHubl OT panHyca
125
120
115
N a (j 110
105
100
-- ~L--- ~~~ i-
~jyW~ ~
V Qz Qr
V I
I
I
02 04 06 08 10 12 14 16
Radius(m)
PHC 7 qaCToTbl cBo6onHbIX K0J1e6aHHH
CJ1enYeT 3aMeTHTb qTO B ueHTpe UHKJ10TpOHa YCKopeHHe npOHCXOllHT B
HenocpencTBeHHoH 6m30CTH OT pe30HaHca Q = I bJ1aronapjl BblCOKOH HHTeHCHBHOCTH
7
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
Ha60pa 3Hepnm pe30HaHC He OKIDKeT BJIHjlHHjI Ha nBmKeHHe -IaCTHU onHaKO B naJIhHeHmeM
CJIenYeT npOBeCTH )lOnOJIHHTeJIhHhle paC-IeThl npOBepjllOIUHe )laHHOe YTBep)l(leHHe
331 neHTp
Ha pHc8 npencTaBJIeHhI 3aBHCHMOCTH 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT
3HeprHH )leHTPoHoB B oTcyrCTBHe npocTPaHcTBeHHoro 3apjlna H )lAA TOKa 20 MA fu pHcYHKa BHnHO -ITO neHcTBHe nOnepe-lHhlX CHJI npocTpaHcTBeHHoro 3apjlna npHBO)lHT K
pe3KoMY YBeJIH-IeHHIO 3ltpltpeKTHBHOrO aKCHaJIhHOrO 3MHTTaHca B ueHTpe YCKopHTeJIjI O)lHaKO
aKCHaJIhHhlH pa36poc npH 3TOM He npeBhlmaeT anepTYphl YCKopHTeJIjI CJIe)lYeT 3aMeTHTh
-ITO paC-IeThl no )laHHOH nporpaMMe nalOT 60JIee OnTHMHCTH-IHoe 3Ha-leHHe aKCHaJIhHOro
aKcenTaHca -S01tMMMpa)l -IeM 6hlJI0 nOJIY-IeHO Bhlme -ITO 06bjlCHjleTCjI Pa3JIH-IHhIM
npe)lCTaBJIeHHeM YCKOpjllOIUero nOAA B nporpaMMax H yKa3hIBaeT Ha He06xonHMOCTh
TIUaTeJIhHhlX paC-IeTOB ueHTPaJIhHOH 06JIaCTH UHKJIOTpOHa
S ~ E
-II
E E
-II
0 N E UJ
100
80
60
40
20
0
= 0 rnA
0 2 4 6 8
Energynucleon (MeVn)
PHC 8 3aBHcHMoCTh 3ltpltpeKTHBHhIX aKCHaJIhHhIX 3MHTTaHCOB OT 3HeprHH neHTPQHoB
)JIjI 1=0 MA H 1=20 MA
TaKHM 06pa30M rrpeneJIhHhIH TOK MO)ICHO 6hlJI0 6hI ClHTaTh paBHhIM 20 MA ITO
corJIacYeTcjI C aHaJIHTH-IeCKHMH oueHKaMH OnHaKo cJIenYeT 3aMeTHTh ITO B pacleTax
3MHTTaHC BhI-IHCAAJICjI KaK ltPYHKUHjI Cpe)lHeKBanpaTHlHoro OTKJIOHeHBjI TO eCTh He Bce
-IaCTHUhl nonanaJOT B 3MHTTaHC CJIenOBaTeJIhHO peaJIhHhlH npeneJI no rrOrrepelHOMY
rrp0CTpaHCTBeHHOMY 3apRny HaxonHTCjI HH)lCe leM 20 MA Ha pHc9a6 rrpe)lCTaBJIeHhI panHaJIhHhle pacrrpeneJIeHBjI laCTHU ll)UI rrepBhIX TPex
o60poTOB (a - 100 laCTHQ 6 200 laCTHU) BHnHO ITO pa3neJIeHHe op6HT COCTaBJIJleT
OKOJIO 8 CM H npaKTHlecKH He 3aBHCHT OT KOJlHleCTBa laCTHQ n03TOMy Bce naJIhHeHIIIHe
paCleThl rrpoBonHJIHCh)lJlR 100 laCTHU
8
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
2 0
1 5 II)
c e Q)
5a Q)-01 0 0 shyQ) 0 E J 5Z
0 o 25 o 3 0 o 35 o 4 0 o 4 5
R a diu s (m )
f) c e s J Q) 0
4 0
0 020 0 E J Z
o o 2 5 030 035 040 o 45
Radius (m)
PHC 9a6 P3llH8JIbHbIe pacnpeleneHIDI QaCfHI1)IDl nepBbIX Tpex 060pOTOB
(a - 100 QaCTHI1 6 - 200 QaCTHu)
9
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
332 30Ra BblBOAa
Z(ml rronyqeHlliI qeTKOro pa3ZleneHUSI Op6HT B 30He BbIBOZla Heo6xoZlHM HHTeHcHBHbIH
Ha60p 3HepmH (qT06bI MHHHMH3HpoBaTb ZleHCTBHe rrpOZlOnbHoro rrpocrpaHCTBeHHoro
3apMa) TIpH 3TOM H)l(HO o6eCrreqHTb coxpaHeHHe Hallne)l(amero KaqeCTBa rryqKa B
rrpOl~ecce YCKopeHHSI a HMeHHO He ZlOrrYCKaTb pOCTa PallHMbHOro 3MHTTaHca B HaUIHX
pacqeTax Ha60p 3HepmH rr03BonHn YCKOpHTb rryqOK ZleHrpOHOB ZlO 3HeprHH 15 M3B 3a 20
060pOTOB TIpH 3TOM HarrpSl)l(eHHe Ha pe30HaTOpax MeHSlnOCb mfHeHHo OT 100 ZlO 350 KB Ha
pHC 1Oa rrpeZlCTaBneHbI rrOCneZlHHe rpH o6opoTa rryqKa ZleHrpoHoB PaccToSlHHe Me)l(ZlY
o60poTaMH OKono 5 CM rrpH 3TOM Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa
rrpHBOMmee K YMeHbIlleHHIO 30HbI CBo60ZlHOH OT qaCTHI(ZlO 2 CM MCrrOnb30BaHHe flattopshy
pe30HaTOpa rrpHBOZlHT K HeKOTopOMY ynyqIlleHHIO KaqeCTBa nyqKa (pHcl06) H
CneZlOBaTenbHO K YBenHqeHHIO rrpeZlenbHOro TOKa Ha pHC 11 a rrpeZlCTaBneHbI paZlHMbHbIe
pacrrpeZleneHHSI qaCTHl nOCneZlHHX rpex 060pOTOB ZlnSl HHTeHCHBHOCTH 10 MA Z(eHcTBHe
nHHeHHoH qaCTH CHn rrpOZlOnbHoro rrpocrpaHcTBeHHoro 3apMa cKoMrreHCHpOBaHO
COOTBeTCTBYlOmHM 3HaqeHHeM ltPa3bI flattop-pe30HaTopa BHZlHO qTO pa3ZleneHHe Op6HT
COXPaHSIeTCSI Ha pHC 12 npeZlCTaBneHbI ltpa30BbIe rroprpeTbI rryqKa ZlnSl nepBbIx H nOCneZlHHX
rpex 060pOTOB Ha6nlOZlaeTCSI cymecTBeHHoe YIllHpeHHe rryqKa no 3HeprHH B rrpolecce
YCKopeHlliI AnSI 20 MA He yZlMOCb rronyqHTb pa3ZleneHHbIX op6HT (pHc116) B03MO)l(HO
(cornaCHO aHMHTHqeCKHM OleHKaM) YBenHqHTb rrpeZlenbHbIH TOK YMeHbIllHB qHCnO
o60poTOB OZlHaKO nonbITKH YBenHqHTb HarrpSl)l(eHHe rrpHBenH K poery PallHMbHOro
3MHTTaHca
4 3aKJ1IOQeHHe
YBenHqeHHe 3HepmH HH)l(eKlHH H YMeHbIlleHHe KpaTHOCTH YCKopeHHSI npHBenH K
cymecTBeHHOMY YBenHqeHHIO aKcemaHca lHKnorpOHa
CHnbI rrpOCTpaHCTBeHHoro 3apSlZla ZlOnYCKaIOT pa60TY YCKopHTenSl B pe)l(HMe
pa3ZleneHHbIX op6HT C npeZlenbHbIM TOKOM rryqKa 10 MA
TaK KaK B leHTpe lHKnorpoHa YCKopeHHe npOHCXOZlHT B HerrOCpeZlCTBeHHoH 6nH30CTH
OT pe30HaHcoB Qr - Qz =0 Qz =1 cneDyeT H3MeHHTb MarHHTHYIO cHcTeMY YCKOpHTenSl Hnu B
CTOPOHY ycuneHHSI aKcHMbHOH ltPOKYCHPOBKHZlO Qz =12+13 Hnu B CTOpOHy YMeHbIlleHlliI
Qz ZlO 09+095 a TaK)l(e npoBeCTH ZlOrrOnHHTenbHble paCqeTbI C lenblO HCCneZlOBaHlliI
BnHSlHHSI pe30HaHcoB Ha ZlBH)l(eHUe qaCTHl
ABTOPbI BbIP~aIOT CBOIO rny6oKYlO npHmaTenbHocTb EMCbIpeCHH 3a rrOAAep)l(KY
rrpH rrpOBeZleHHH pa6OTbI
10
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
8
Cl 6c 0 Q S (I)
a 0
0 4 Q0 E J Z
2
o 1 45 1 50 1 5 5 1 6 0 1 65
Radius (m)
8
Cl 6c 0 Q S
6 (I) 0
0 4 Q 0 E J Z
2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
Radius (m)
PHC 10 a6 PallHMbHble pacnpeneJleHHH 4acnUlnJlH nOCJlenHHX Tpex 060POTOB
npH 1= OMA ( a - 6e3 flattop-pe30HaTopa 6 - C flattop-pe30HaropoM)
11
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
= 1 0 rnA
6
CI) c e $ J ltU 0 4
a 0 shyltU 0 E J Z 2
o 1 4 5 1 5 0 1 5 5 1 6 0 1 6 5
R a d iu s (m )
8
1 4 1 5 1 6 Radius (m)
PHC lla6 PMHaJIbHble pacnpeneJIeHlHI qaCTHUllIDI nOCJIenHHX TPex 060pOTOB
(a - npH I = 10 MA 6 - npH I 20 MA)
12
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
40
30
20 (j) (1) (1) ~
0gt 10 a (1)
~ (1) () 0 ro
J a -10
-20
03
40
30
20 (i) Q)
~ 0gt 10
f5 Q)
~ Q) en 0 ro
J a -10
-20
bull
04 05 06 07 08
Energynucleon(MeVn)
60 65 70 T5 80
Energynucleon (MeVn)
PHC 12 a6 ltlgta30BbIe nOp1peTbI nyqKa npH 1= 10 MA (a nepBbIe 1pH o60poTa 6shynocneAHHe 1pH o60pOTa)
13
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
JIuTepaTypa
1 CaMcoHoB EB Bopo)KlJoB Cli KapaMbIIIIeBa rA Pacqer )JHHaMHKH qaCTHlJ B lJHKJIOTpoHe IJl1-1 0 Co06meHHe OIDIH P9-99-126 )(y6Ha 1999 2 ArreHHlJKHH lOT H )Jp CeKTOpHbIH lJHKJIOTpOH HH)KeKTOp lUl-1 Me)KlJYHap0lJHoe COBemaHHe no lJHKJIoTpoHaM H HX npHMeHeHHIO )(y6Ha 1989 c96 3 10ho W Space Charge Effects in Cyelotrons Tpy)JbI Me)KlJYHap0lJHoH IIIKOJIbl MOJIO)JbIX yqeHbIx no np06JIeMaM YCKopHTeJIeH 3apH)KeHHbIX qaCTHlJ )(y6Ha 1989 c94 4 Bopo)KIJoB Cli H lJp KOMnJIeKC annapaTHbIx H nporpaMMHhlx CpelJCTB lJJIH aHaJIH3a )]HHaMHKH nyIKa lJHKJIoTpoHa Co06meHHe OIDIH P9-88-416 )(y6Ha 1988 5 Chabert A Pro me M In Proc of the Conf on Accel Design and Oper Berlin 1984 p164
PyKonHCh nOCTynHJIR B H3)]RTeJIhCmH OTlJeJI
15 HOJl6pJl 2000 roAa
14
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
V13AaTeJlbCK~t1 OTAeJl 06beA~HeHHoro ~HCT~TyTa stAepHbiX HCCJleAOBaH~t1
npeAnaraeT BaM npH06peCTltl l1epelf~CJleHHble H~)I(e KH~r~
IItUleKc KlfHnt Ha3BaHHe KHHrH
E3-97-213
u9-97-231
E24-97-263
ElO-97-272
U19-97-284
PI4-97-343
P2-97-401
E2-97-413
EI5-98-57
U13-98-66
El2-98-154
E314-98-168
E3-98-202
Ut 2-98-215
U -98-224
Pl-98-231
E2-98-254
U911-98-273
E1719-98-305
Tpyuhl V MC)KJlYHapounoro cCMuHapa no B3auMoucikTBHIO nCHTponoB
C 51upaMIf Uy6Ha 1997 446 c (Ha anm 513)
Tpyubl MC)KJl)HapounOH WKonhl MonouhlX yqCHblX laquonpo6nCMbl YCKOPCHHII
3apU(CflHblX lIaCTHUraquo Uy6Ha 1996 285 c (Ha PYCCKOM H aHm 513)
Tpyuhl III MC)KJl)HapouHOH KmlcpcpCHUHH laquoPeHopMrpynna-96raquo Uy6Ha 1996 436 c (Ha aHm SI3)
Tpyuhl MC)KJl)Hapounoro pa601lcro COBClllaHlf)l laquoCHCTCM~I c60pa uaHHbIX
B 3KcncpHMcHTax Ha HCHTPOHHhlX HCTOlIHHKaxraquo uy6Ha 1997325 c
(Ha aHm 113)
Tpyubl MC)KJlYllapouBoro CHMn03UYMa laquonp06nCMhI 6JfOXIIMHH panHaunOUHOH
H KOCMHlICCKOH 6HonornHraquo Uy6Ha 19972 TOMa 284 H 405 c
(Ha PYCCKOM H aHm 113)
Tpyuhl HaUHOHanhHOH KOHcpePCHUHH no npHMCUCHHIO pCHTrCHoBcKOro
CHHXPOTPOHIIOro H3nyqcnHII HCHTPOHOB H 3nCKTpOIIOB M5I HccncuOBatnl51
MaTcpHanOB Uy6Ha 1997 3 TOMa 370 C 448 C 340 c (Ha PYCCKOM Sl3)
TpyuhI IX MC)KJl)HapouHoro cCMHHapa laquo[paBHTaUHoHHruI 3HCprnll
H rpaBHTaUHoHublC BonHMraquo Uy6ua 1996 194 c (lla PYCCKOM 513)
Tpyuhl VII MC)KJl)HapouHoro cOBclllaHHSI no cnHHoBoH CPH3HKC BblCOKHX
3HcprnH (CnHH-97) Uy6Ha 1997398 c (Ha aHm Sl3)
Tpyubl III MC)KJl)HapouHoro cOBelllaHHSI no HccncuOBanHlO CBCPXTOHKOli
CTPYK1YPbl H SIuCpHblX MOMCHTOB 3K30THlICCKHX IIucp MCTouaMH na3cpHoH
cnCKTpOCKonHH n03naHh 1997 200 c (Ha anm Sl3)
Tpyuhl XVII MC)KJl)HapouHoro cHMn03HYMa no IIuepHoH ancKTpoHHKC
Bapna 1997 242 c (Ha PYCCKOM H aHm 513bIKax)
Tpyuhl XIII Me)KJl)HapouHoro ceMHHapa no np06neMaM cpH3HKH BblCOKHX
aHeprnH laquoPenSlTHBHcTCKruI IIuepnaSl cpH3HKa H KBaHTOBaSI XpoMouIfHaMIfKaraquo
Uy6Ha 1996 2 TOMa 300 c H 282 c (Ha aHm Sl3)
Tpyuhl [cpMaHo-PoccHHcKoro COBemaHHII nOnh30BaTencH H6P-2 Uy6Ha
1998 126 c (Ha anm 113) TpYIlbl VI Me)KJl)HapOIlHoro ceMHHapa no B3aHMOIleHCTBHfO HeHTpoHoB C 51upaMH Uy6Ha 1998 352 c (Ha aHm 113)
Tpyuhl Me)l(Jl)HapouHoro COBelllaHHII laquoPenSITHBHCTCKruI 9ucpnaSl cpH3HKa
OT COTCH MaB uo TaBraquo Uy6Ha 1998 384 c (Ha PYCCKOM H aHm Sl3)
Tpyuhl II OTKPhlTOH HayqnoH KOHcpePCHUHH MOnOIlhIX yqeHhlx H cnCUHanHCTOB OIUlH Uy6Ha 1998 190 c (lIa PYCCK H anm Sl3hlKax)
AnI06HMOB UKHIll BBcucHHc B aKcnepHMcHTanhHYKgt CPH3HKY lIaCTHU
Jly6Ha 1998 330 c (ua PYCCKOM 113)
TpYIlbl pa601lero COBemaUHSI laquoAuPOHHhIC aTOMbl H n03HTpOffbl B CTaHuapTfIOH
MouenHraquo Uy6ffa 1998 259 c (Ha aHm 93)
Tpyubl Me)KJlYllapouHOH KOHcpcpeHUHH laquoJlHHaMHKa nyqKoB H OnntMH3aUIISIraquo
Jly6Ha 1997 162 c (ua PYCCKOM H aum Sl3bIKax) Tpyuhl MC)I(Jl)HapouHoro pa6ollero COBcmaHHSI laquoJlcHTepnpoBaHlIe 6HonornllecKHx MoncKyn MSI CTPYK1YPffbIX H uHHaMHlIeCKHX HCCneIlOBaltHH npHMeffeHHe MII HeHTpoHHoro pacccSlHHSI H IMPraquo Uy6Ha 1998 100 c
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
El2-98-307 Tpynbl MelKn)HapOnHOH WKOnbl-CeMHUapa laquoAKTyanbflble np06neMhi cpnmKH
tlaCTHUraquo rOMenb 1997 2 TOMa 304 c It 220 c (na aHm H3)
E2-98-372 Tpynbl III Me)l(Jl)HapOnnoro cOBeruallHI laquoKnacCHtleCKHe H KBallTOBMe
HHTerpHpyeMble CHCTeMblraquo EpeBall 1998 200 c (Ha allm H3)
E9-99-26 TpYllbi XVII Me)l(JlYIlapOllHOH KOHQgtepeIlHHH no YCKopHTenHM BblCOKHX 3HeprnH JIy6Ha 1998432 c (Ha anm I3)
E2-99-35 Tpynbl XI Me)l(Jl)HapollHoH KOHcpepeHuuH laquonp06neMM K8aHTOBOH TCOPUH
nonHraquo JIy6Ha 1998508 c (Ha aHm I3)
E5-99-38 TpYllbl Me)l(Jl)HapOllHoro COBeIuaHHH laquoCaMonOll06Hble CHCTeMbIraquo JIy6Ha 1998 404 C (Ha aum I3)
P31417-99-75 TpynbI VIII lllKonbl no HeHTpoHHOH QgtH3HKe JIy6Ha 1998 330 C
(Ha PYCCKOM I3)
E9-99-92 TpynbI Me)l(Jl)HapollHoro COBeIllaHHI MEEC98 JIy6Ha 1998 302 C
(Ha aHm H3)
JI -99-94 TpYllbl III OTKPbITOH HayqHoH KompepeHUHH MonOllblX yqeHblx It
cneUHanHCTOB 0115)]1 lly6Ha 1999 258 C (Ha PYCCK H aHrJI H3bIKax)
MAlllenaeB BBelleHHe B He06paTMMYIO 3neKTpollHHaMHKY JIy6Ha 1999 288 C (Ha PYCCKOM SI3 )
3a AOnOllHIf1TellbHOt4 If1HqopMa~lf1et4 npOCIf1M 06pawaTbcSl B 1f13AaTellbCKIf1t4 OTAell 0V1S1V1
no aApecy
141980 rAy6Ha MOCKOBCKOt4 0611acTIf1
Yll)I(OllIf10-KIOPIf1 6 06beAIf1HeHHblt4 If1HCTIf1TYT SlAepHblx If1CClleAOaaHIf1t4
1f13AaTellbCKIf1t4 oTAell
E-mail publishpdsjinrdubnasu
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
BOpmKllOB CD H Lp P9-2000-274 llHHaMHKa IaCTHll C ytleTOM BJIHSHIDI POCTpaHCTBeHHOrO 3apAAa B CHJIbHOTOIHOM llHKJIOTpOHe (llejhpoHHbIH BapHaHT)
IIpHBeLeHbI pe3YJIbTaTbI IHCJleHHbIX paCIeTOB OCHOBHbIX XapaKTepHCTHK CHJIbHOTOIHOro llHKJIOTpOHa IIpeLHa3HaIeHHoro LJIS IIOJIytleHIDI IIytlKa LeHTpOshyHOB C KOHeIHOH 3HepnfeH 15 M3B IIpeLCTaBJIeHbI aHaJIHTHIeCKHe H IHCJIeHHbIe OlleHKH 3cpcpeKToB pocTpaHcTBeHHoro 3apAAa Ha LHHaMHKY IaCTHll IIOKa3aHO ITO CHJIbI pOCTpaHCTBeHHOrO 3apSLa LOIIYCKaJOT pa60TY YCKOpHTeJIS B peXHMe pa3LeJIeHHbIX Op6HT C IIpeLeJIbHbIM TOKOM IIytlKa 10 MA
Pa60Ta BbIIIOJIHeHa B JIa60paTopHH AAepHblx IIp06JIeM HM BIIIlJKeJIeIIOBa OIDIH
Coo6meHHe 06benHHeHHoro HHCTJIryra AAepHblX HccnenOBaHHH Jly6Ha 2000
IIepeBoL aBTopoB
Vorozhtsov SB et al P9-2000-274 Beam Dynamics Taking into Account Space Charge Effects in a High-Current Cyclotron (Deuteron Version)
The calculations of beam dynamic characteristics of High-Current Cyclotron for deuteron beam of 15 MeV energy are presented Analytical and numerical estishymations of space charge effects are given Current limit due to space charge forces is calculated to be about lOrnA
The investigation has been performed at the Dzhelepov Laboratory of Nuclear Problems JINR
Communication of the Joint Institute for Nuclear Research Dubna 2000
top related