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Some ψ(3686) Physics at BESIII (software performance test)
G.Li, K.L.He and X.H.MO
for Analysis Software Group
BESIII annual meeting
January 10-12, 2006
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Content1. Introduction2.Ψ' -to- J/ transition processesJ/ X, X: 0 0 , + – , 0, , etc. cJ , cJ J/ , multi-track
s .3.Ψ' PP final state. 4.Summary
BESIII simulation based on BOSS 5.0.0
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New discoveries and high precision
PDG04B('00J/)/ B('+–J/)=(59.3±4.3)% [r.e.7%]
CLEOc:PRL94,232002(2005)B('00J/)/ B('+–J/)=(49.24±0.98)% [r.e.2%]
Isospin conservation is confirmed at a 2% level
Theoretical predication:B('00J/)/ B('+–J/)=50%
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CLEOc:PRL94,232002(2005)B('0J/)/ B('J/)=(4.1±0.4 ±0.1)% [r.e.10%]
Isospin violation is observed at a ±0.4% level
Theoretical predication: 1.62% PR194, 1(1990) (1.92–3.45)% PRD24,1210(1988)
BESII:PRD70,012006(2004)B('0J/)/ B('J/)=(4.8±0.5)% [r.e.10.4%]
PDG04B('0J/)/ B('J/)=(3.04±0.70)% [r.e.23%]
230
2/)(16
27
)/(
)/(
uds
ud
mmm
mm
p
p
J
J
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Ψ' -to- J/ transition processesJ/ X, X: 0, 0 0 , + – ,, etc. cJ , cJ J/ , multi-track
s .
BESIII simulation based on BOSS 5.0.0
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'+–J/, J/ All Double Gaussian Fit
inv. mass +–
without 4C fit
inv. mass
without 4C fit
inv. mass +–
with 4C fit
= 17. 4 MeV
= 2. 22 MeV =2. 32 MeV
4C-fit is unnecessary for '+–J/, J/
at BESIII
Sample: 50k
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'00J/ , J/
Crystal Ball Func. Crystal Ball Func.
Gauss Func. Gauss Func.
1st 0 2nd 0
Gauss1 Func.
Gauss2 Func.
inv. mass
= 5. 4 MeV = 5. 5 MeV
= 10.7 MeV
All with 4C fit
m =137.9 MeV m =137.0 MeV
m =3.109 GeV
Sample: 50k
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'0J/ , J/
Crystal Ball Func.+
Gauss Func.
Double Gaussian
= 4. 9 MeV = 14.8 MeV
without 4C fit with 4C fit
inv. mass inv. mass
m =136.1 MeV
m =3.102 GeV
Sample: 50k
cos of in 0 c.m. system
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'J/ , J/
Crystal Ball Func. Double Gaussian
cos of in c.m. system
= 9. 3 MeV = 12.3 MeV
without 4C fit with 4C fit
inv. mass inv. mass
m =550.8 MeV
m =3.101 GeV
Sample: 20k
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Decay mode
Resolution
(MeV)
Without or with 4C-fit' BESIII
(M.C.)
BESII
(Data)
+–J/ + – : 2. 22 ~7.0 no 4C-fit
00J/ 01,0
2 : 5.4, 5.5 — 4C-fit
0J/ 0 : 4.9 12.9 4C-fit
J/ : 9.3 4.1
(5C-fit)
4C-fit
Short Summary
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Ψ' J/ final state
8 M BESIII M.C. Sample
14 M BESIISample
0
c1 c2
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BESIII: (8M , M.C.)m(c1) =3.508GeV,m(c2) =3.553GeV;(c1) =8.1MeV,(c2) =9.4MeV.
BESII: (14M , Data)(c1) =13.3MeV; (c2) =13.2MeV.
Ψ' cJ , cJ J/
c1 c2
0
Ψ' J/(0, ), (0, )c0
m() =549MeV,
m(0) =135MeV.
m(c-) =3.413GeV,(c0) =9.0MeV.
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Inv.mass of chrg.trks. (GeV)
Even
ts
c1
c2
c0c1
c2
c0
c1
c2
c0
Ψ' cJ , cJ Ψ' cJ , cJ KK
c
BESIII: (0.5M , M.C.)Ψ' cJ , cJ multi-tracks
Ψ' cJ , cJ (6)
Ψ' tail
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Ψ' PP final state.
BESIII simulation based on BOSS 5.0.0
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' Pseudoscalar-Pseudoscalar
• Form factors of and can be calculated in framework of Hadronic Helicity Conservation (HHC), which could tell us about quark distribution amplitudes. So measurement of +–, K+K– final states are important and interesting, and also provide test for HHC.
S.J. Brodsky and G.P. Lepage :PRD24, 2848 (1981).
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12%BB
QXJ/ψ
Xψ'h
B ’ Ks KL = (5.24± 0.47 ± 0.48 ) 10 – 5 BES:PRL92,052001(2004)
B J/ Ks KL = (1.82 ± 0.04 ± 0.13 ) 10 – 4 BES:PRD69,012003(2004)
3.7)%(28.8B
B
LKKJ/ψ
LKKψ'
S
S
4
J/ , ’ PP
•12% rule problem as we know VP mode is suppressed, eps. ; but for PP channel, the ratio is enhanced:
How about +–, K+K– ?
PDG04:Qh (+–)=(54 ± 35)%Qh (K+K– )=(42 ± 30 )%
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The Relative Phase
J/ψ Decays: 1. AP : 90 ° M. Suzuki, PRD63, 054021 (2001) 2. VP : (106 ±10) ° J. Jousset et al., PRD41, 1389 (1990) D. Coffman et al., PRD38, 2695 (1988) N. N. Achasov, talk at Hadron2001 3. PP : (90 ±10) ° M. Suzuki, PRD60, 051501 (1999) 4. VV : (138 ±37) ° L. Köpke and N. Wermes, Phys. Rep. 74, 67 (1989) 5. NN : (89 ±15) ° R. Baldini et al., PLB444, 111 (1998)
ψ’ Decays:1. VP : φ = 90 °﹣ or 180 ° P. Wang et al. , PRD69, 057502 (2004) 2. PP : φ = ( 82 ±29)° ﹣ or (+121 ±27) ° J. Z. Bai et al. , PRL9, 052001 (2004)
φ
Large phase~ |90º|
Large phase
~ – 90º
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Three channels: π﹢π﹣, K﹢K﹣, and KS KL
could be use to extract the phase (√3/2) M and E.
φ
PP -Parametrization π﹢π ﹣ : E
K﹢K﹣: (√3/2) M +E
KS KL : (√3/2) M
E.Haber and J.Perrier: Phys.Rev.D32, 2961 (1985)
PP -Parameterization π﹢π ﹣ : (E+EC)K﹢K﹣: (√3/2)M +(E+EC) KS KL : (√3/2)M
+Continuum Contribution
’ PP
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BESII
p(π)– p(K)=62 MeV
/p=0.017(1+p2)1/2
(π)= 65 MeV
(K)=62 MeV
Two peaksmerge together,undistinguishable
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’
J/ ’’
p(K) =1.775GeV(K) =0.0110GeV
K
KK
p() =1.837GeV() =0.0117GeV
p() =1.881GeV() =0.0120GeVp(K) =1.820GeV(K) =0.0113GeV
p() =1.542GeV() =0.0085GeVp(K) =1.467GeV(K) =0.0079GeV
All fit error around the level of 10 – 4 GeV
BESIII
momentum (GeV)momentum (GeV)
momentum (GeV)
Even
ts Even
ts
Even
ts
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Bkg MC
signal
14M ψ(2S)J/,’KSKL
PRL 92, 052001 (2004)58M J/ψ
signalMC BkgK*0KS+c.c.
Ks m
ass sid
eban
ds
PRD 69, 012003 (2004)
B ’ Ks KL =
(5.24± 0.47 ± 0.48 ) 10 – 5
B J/ Ks KL =
(1.82 ± 0.04 ± 0.13 ) 10 – 4
PRD 70, 077101 (2004)
B ’’ Ks KL <
2.1 10 – 4 (90% C.L.)
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’
J/ ’’
p(Ks) =1.762GeV(Ks) =0.0134GeV
KS
KSKS
p(Ks) =1.808GeV(Ks) =0.0137GeV
p(Ks) =1.455GeV(Ks) =0.0119GeV
BESIII
momentum (GeV)momentum (GeV)
momentum (GeV)
Even
ts Even
ts
Even
ts
Gauss fit results
BESII@ ’p(Ks) =1.768GeV(Ks) =0.0342GeV
B.G. need further study
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Based on BESIII detector simulation system, we present some Monte Carlo distributions for transition processes. From fit, we obtain the detector resolutions for +– , 0 , , c1 , c2, etc. Most of indexes are greatly improved comparing with those of BESII detector. Since PP decay mode is concerned with many interesting physics, we check momentum resolutions of +– , K+K– , KSKL channels at BESIII, and see the new detector will provide us with fairly good resolution for particle’s identification. Our limited performance tests based on BESIII detector simulation indicate that there are many important and interesting physics could be studied with the forthcoming new detector.
Summary
Thanks a lot !
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Back-up
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Decay mode
Eff.
(%)
Resolution
(MeV)
Without or with 4C-fit' BESIII
(M.C.)
BESII
(Data)
+–J/ 40.7 + – : 2. 22 ~7.0 no 4C-fit
00J/ 7? 01,0
2 : 5.4, 5.5 — 4C-fit
0J/ 50.3 0 : 4.9 12.9 4C-fit
J/ 39.1 : 9.3 4.1 4C-fit
Summary
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Ψ' J/ final state
1 M BESIII M.C. Sample
14 M BESIISample
0
c1 c2
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Ψ' cJ , cJ J/
c1 c2
0
Ψ' J/(0, ), (0, )BESIII : 1 M Monte Carlo Sample
BESIII: (1M , M.C.)m(c1) =3.508GeV,m(c2) =3.553GeV;(c1) =8.1MeV,(c2) =9.4MeV.
BESII: (14M , Data)(c1) =13.3MeV; (c2) =13.2MeV.
m() =549MeV,
m(0)
=134MeV.
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cJ
μμ
μμ
J/oJ/
μμ
Exclusive Method’ J/
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The phase study in e+e – experiment
Phase
Take the continuum contribution and its interference effect into consideration , we could determine not only the magnitude but
also the sign of the phase. Furthermore, the cont. contr. and its int. effect will exert obvious influence on BR. measurement.
φ
interference interference
–
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DASP:
BES-I:
C.Z.Yuan,P.Wang and X.H.Mo:PLB567, 74 (2003) =(– 8229)°, or (+12127)
°
BES Collaboration:PRL 92, 052001 (2004)
Parameterization and phase study
B ’ Ks K L= (5.24 ± 0.47 ± 0.48) 10 – 5
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/p=0.003(1+p2)1/2
’
J/ ’’
p(K) =1.775GeV(K) =0.0110GeV
K
KK
p() =1.837GeV() =0.0117GeV
p() =1.881GeV() =0.0120GeVp(K) =1.820GeV(K) =0.0113GeV
p() =1.542GeV() =0.0085GeVp(K) =1.467GeV(K) =0.0079GeV
All fit error around the level of 10 – 4 GeV
BESIII
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“12%” rule and mixing model
’ P P enhanced
’ V T suppressed
’ V P some
greatly suppressed
(such as & K*0 K0 )
Some recent studies indicate the S- and D-wave mixing model is a Natural, Simple and
Calculable model ! It probably gives a unified explanation for all 12 % rule deviated
decays
Wang, Yuan and Mo:PLB574,41(2004); &
hep-ph/0402227;
J.L.Rosner : PRD64,094992(2001)
J/ = | 13S1 , ⟩& = | 23S1 & | 1⟩ 3D1 :⟩
⟨f | = f⟩ ⟨ | 23S1 cos⟩ – f⟨ | 13D
1 sin⟩ , ⟨f | ⟩ = f | 2⟨ 3S1 sin⟩ + f⟨ | 13
D1 cos⟩ .(=12º)
“12%” rule:⟨f |J/ / f⟩ ⟨ | 23S1 = ⟩ ee (J/)/ ee (23S1 ) ⟨f | 23S1 ⟩
Mixing :1. f⟨ | = f⟩ ⟨ | 23S1 cos⟩ – f⟨ | 13D
1 sin⟩ ⟨f | & f⟩ ⟨ | 23S1 ⟩ f⟨ | 13D1⟩2. f⟨ | ⟩ = f | 2⟨ 3S1 sin⟩ + f⟨ | 13
D1 cos⟩ ⟨f | ⟩ Br(f) The measurement at can be
used to test the mixing model !