formaon spectra of charmed meson-nucleus systems via ......tolos, garcia-recio, j. nieves,...

Forma&onspectraofcharmedmeson-nucleussystems

viapbarpreac&on

JunkoYamagata-Sekihara(Na&onalIns&tuteofTechnology,OshimaCollege)

J.Yamagata-Sekihara,C.Garcia-Recio,J.Nieves,L.L.Salcedo,L.Tolos,Phys.LeJ.B754(2016)26

Contents1.  Introduc&on2.  Interac&on

–  D-(cd)-Nucleussystems–  D0(cu)-Nucleussystems

3.  Boundsystems–  Klein-Gordonequa&on–  Atomicstate,Nuclearstate

4.  Forma&onSpectra–  Green’sfunc&onmethod

5.  Summary

Introduc&on•  Meson-Nucleussystems-Mesicatom:CoulombInterac&on-Mesicnucleus:StrongInterac&on

1.Introduc4on2.Interac4on3.Boundsystems4.Forma&onSpectrum5.Summaryxc

J.Yamagata-Sekihara,C.Garcia-Recio,J.Nieves,L.L.Salcedo,L.Tolos,PLB754(2016)26


-  Mostfamoussystem-  Pionboundsonatomicorbit-  <qbarq>innuclearmedium-  Manyworks

Introduc&on•  Meson-Nucleussystems-Mesicatom:CoulombInterac&on-Mesicnucleus:StrongInterac&on

-Introduc4on-Interac4on-Boundsystems-Forma&onSpectrum-Summary

-  Lightestmesonwithsquark-  Atomicstates/Nuclearstates-  Λ(1405)state-  S&llcontroversial

-  UA(1)anomaly-  N*(1535)state

-  DecayintoKKbar-  3%massreduc&on?-  Charmquark

-  Highenergybeam

•  Theore4calWorks-Tsushima,Lu,Thomas,Saito,Landau,PRC59(99)2824Quark-mesoncouplingmodel,Dbarin208Pb.-Yasui,Sudoh,PRD80(09)034008-Yamaguchi,Yasui,Hosaka,NPA927(14)110HeavyQuarkSymmetry.Onepionexchangeinterac&on.DbarNboundstate,DbarNNboundstate-Garcia-Recio,Nieves,Tolos,PLB690(10)369

D0in12Cupto208Pb,D+in12C-Garcia-Recio,Nieves,Salcedo,Tolos,PRC85(12)025203D-in12Cupto208Pb-Ikeno,Nagahiro,Hirenzaki,JPSMee&ng2010Forma&onspectrumofD0in12CbyEffec&venumberapproach-NagahiroatKEKworkshop,Forma&onspectrumofD-in12Cetc…

•  Experiments-NewFacilityFAIR@GSI

Highintensitypbarbeamupto15GeV/c.-J-PARC


Introduc&on

•  Inthiswork-Thepossibilityoftheobserva&onbythepbarbeamat8GeV/cboundstatesbyreac&onboundstatesbyreac&on-Thestructureoftheforma&onspectrum“WhetherwecanobservethepeakstructurecorrespondingtotheD0(D-)boundstates”-Energydependentop&calpoten&alwiththeGreen’sfunc&onmethod


Introduc&on

(cq)(cq)


•  Meson-nucleusInterac&on

-Unitarizedcoupled-channeltheory--Freespace

--Mediumeffect(e.g.forDmesoncase)


(cq)

(cq)

Tolos,Garcia-Recio,J.Nieves,PRC80(09)065202Garcia-Recio,Nieves,Salcedo,Tolos,PRC85(12)05203.

Theeffec&veinterac&oninfreespaceisobtainedbysolvingtheon-shellBethe-Salpeterequa&oninthecoupled-channelspace.

•  Op&calpoten&alfor11Batthresholdenergy


(cq) (cq)


-Introduc4on-Interac&on-Boundsystems-Forma&onSpectrum-Summary

•  Klein-Gordonequa&on




•  Boundstatefor11BNuclearSate:BE(Width)[MeV]1s:21.662(0.458)2p:14.451(2.359)

Howcanweobservethesestates?

1s:6.525(10.78)


-Introduc4on-Interac&on-Boundsystems-Forma4onSpectrum-Summary

•  Forma&onReac&on-Elementaryreac&on:

-Targetnucleus:12CWechoosetheincidentpbarbeamas8GeV/c.ThisenergywillbeachievedinPANDAexperimentsatthefutureFAIRfacility,andthefutureJ-PARCfacility.

D-case

•  Forma&onSpectrum(,)-Green’sfunc&onmethod:


ElementaryCrosssec&on(Theory) J.HaidenbauerandG.Krein,PRC89(2014)114003

Distor&onFactorF(r)(Theory)

Theory:

J.Haidenbaueretal.,EPJA37(2008)55


•  Forma&onSpectra

NuclearSate:1s:21.662(0.458)2p:14.451(2.359)

NuclearSate:1s:6.525(10.78)



Summary•  Theforma&onspectraofmesicnuclearstatesbythe

(pbar,)reac&onat=8GeV/c.•  Formeson:2pboundstateassmallpeak.•  Formeson:Noclearpeak•  Themomentumtransferislarge.

FutureWork•  Weconsiderdifferentproduc&onreac&onwithsmall

momentumtransfer.


Back-upSlide



(cq)

(cq)


I=0 J=1/2

I=1 J=1/2

I=0 J=1/2

I=1 J=1/2

SU(8)spin-flavorsymmetry





(cq) (cq)



- Winberg-TomozawaTerm

- Unitarizedcoupled-channeltheory-Mediumeffect

= V

+ + V V V V V V+




(cq) (cq)


Theeffec&veinterac&oninfreespaceisobtainedbysolvingtheon-shellBethe-Salpeterequa&oninthecoupled-channelspace.Poleposi4onX(2805):I=0,J=1/2 Σc(2556):I=1,J=1/2

Λc(2595):I=0,J=1/2





(cq)

(cq)





•  Boundstatefor11B

TheCoulombInt.isnotincluded.Atomicstatedoesnotexist.

Atomicstate



•  Boundstatefor11B

NuclearSate:BE(Width)[MeV]1s:21.662(0.458)2p:14.451(2.359)

DeeplyboundDbarmesicnuclearstatesexistwithnarrowwidth!!Howcanweobservethesestates?

1s:6.525(10.78)DeeplyboundD0mesicnuclearstateexist!!ThisresultisconsistentwithIkeno’scalcula&on.

FromIkeno’sslide@JPSMee&ng2010


•  Forma&onReac&on-Green’sfunc&onmethod:



ElementaryCrosssec&on(Theory)

Assump&on:aflatangulardistribu&oninCM.

J.HaidenbauerandG.Krein,PRC89(2014)114003



Distor&onFactorF(r)(Theory)

Theory:

J.Haidenbaueretal.,EPJA37(08)55

•  Wecalculatedtheforma&onspectraofmesicnuclearstatesviapbarbeam.

•  mesicnuclearstatesexistassameasotherwork.•  Itisdifficulttoobservetheboundstatesby

(pbar,)reac&onat=8GeV/c.•  Themomentumtransferislarge.•  Weshouldconsiderdifferentproduc&onreac&onwith

smallmomentumtransfer.FutureWork•  Wedomorerealis&ccalcula&on.(Elementarycrosssec&on,Distor&onfactorDifferentreac&on…)

Ikeno’sslide@JPSMee&ng2010



NuclearSate:1s:21.662(0.458)2p:14.451(2.359)



NuclearSate:1s:21.662(0.458)2p:14.451(2.359)

Thepeakcorrespondingtothe2pstatemightappear,andverysmall.Oneofthereasonofthatisthemomentumtransferisverylarge.Inthiscalcula&on,weincludedDbarstateuptoL=15.è Differentforma&onreac&onwithsmallqmaygetclearerpeakstructure.

2pstate



2pstate

Thepeakcorrespondingtothe1sstatedoesn’tappear.Themomentumtransferisverylarge.

NuclearSate:1s:6.525(10.78)

Dbarmesonnucleuspoten&alGarcia-Recio,Nieves,Salcedo,Tolos,PRC85(12)05203.

-SU(8)spin-flavorsymmetry-Theop&calpoten&alisobtainedbyTρapproxima&on.AmplitudeThasapoleX(2805)state:I=0,J=1/2-Decaymode:Foratomicstates,aboundDbarmesonmayfallstolowerlevel.Fornuclearstates,thedecaywidthcomesfromtheexistenceof

X(2805)state,whichappearsaroundthresholdenergy.

I=0 J=1/2

I=1 J=1/2

Dmesonnucleuspoten&alTolos,Garcia-Recio,Nieves,PRC80(09)065202.Garcia-Recio,Nieves,Tolos,PLB690(10)369-SU(8)spin-flavorsymmetry-Op&calpoten&alisobtainedbyTρapproxima&on.-AmplitudeThasapoleofΣc(2556)state(I=1,J=1/2)andΛc(2595)state(I=0,J=1/2).

formaon spectra of charmed meson-nucleus systems via ......tolos, garcia-recio, j. nieves,...

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