1 Heavy quark system near Tc Su Houng Lee In collaboration with Kenji Morita Also, thanks to group members: Present: T. Song, K.I. Kim, W.S. Park, H. Park,

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Presentation transcript:

1 Heavy quark system near Tc Su Houng Lee In collaboration with Kenji Morita Also, thanks to group members: Present: T. Song, K.I. Kim, W.S. Park, H. Park, K. Jeong Former: K. Ohnishi, S. Yasui, Y. Song

S H Lee 2 Early work on J/ (Hashimoto, Miyamura, Hirose, Kanki)

S H Lee 3 J/  in Quark-gluon plasma Matsui and Satz: J/  will dissolve at Tc due to color screening Lattice MEM : Asakawa, Hatsuda, Karsch, Petreczky …. J/  will survive Tc and dissolve at 2 Tc Potential models (Wong …) : Consistent with MEM Wong. Refined Potential models with lattice (Mocsy, Petreczky…) : J/  will dissolve slightly above Tc Lattice after zero mode subtraction (WHOT-QCD) : J/  wave function hardly changes at 2.3 Tc AdS/QCD (Kim, Lee, Fukushima..) : J/  mass change And so on ……….

S H Lee 4 Comparison with experimental data of RHIC (√s=200 GeV at midrapidity) T. Song (preliminary)

S H Lee 5 Some perspectives on sQGP and relation to deconfinement

S H Lee 6 Some perspectives from Lattice data on (, p) near T c Karsch hep-lat/  Lattice data (Karsch et al) vs. Resummed perturbation (Blaizot et al.)  Operator representation: Gluon condensates sQGP J/  sQGP

S H Lee 7 SHLee PRD40,2484(89) Dominated by non perturbative change at Tc  M 0 and Bag pressure  M 0 and Gluon condensate

S H Lee 8  Relation to Electric and Magnetic condensate  Relation to deconfinement T T =0 W(S-T) W(S-S) Time Space L L OPE  1- (ST) 2 +… OPE  1- (SS) 2 +…  exp(-  V(T)) Kaczmarek et al (prd04)

S H Lee 9 Heavy quark system in sQGP OPE, QCD Stark Effect, and QCD sum rules

S H Lee 10 MIT Bag Vacuum with negative pressure QCD vacuum sQGP at Tc Large increase in E 2 Heavy quark system near Tc

S H Lee 11 Heavy quark correlation function  (q 2 ) OPE makes sense when  Definition  Operator product expansion (OPE) Even at finite temperature or as long as

S H Lee 12  q 2 =0 : photo production of open charm  q 2 =m 2 J/ : OPE for bound state (Peskin 79)  -q 2 >0 : QCD sum rules for heavy quarks

S H Lee 13  q 2 =m 2 J/ : OPE for bound state (Peskin 79)

S H Lee 14  OPE for bound state: m  infinity QCD 2 nd order Stark Effect :  >  qcd  Attractive for ground state T/Tc 00 m J/ -44 MeV-105 MeV311 MeV mm -4.3 MeV-10 MeV580 MeV 

S H Lee 15 2 nd order Stark effect from pNRQCD  LO Singlet potential from pNRQCD : Brambilla et al.  Derivation 1/r > Binding >  QCD, Take expectation value Large Nc limit Static condensate Energy 

S H Lee 16  -q 2 >0 : QCD sum rules for heavy quarks

S H Lee 17 Q 2 =-q 2 >0, QCD sum rules for Heavy quark system OPE Phenomenological side s  J/  ’’  sum rule at T=0 : can take any Q 2 >=0,

S H Lee 18 Matching M n-1 /M n from Phen to OPE  Obtain constraint for m J/ and  OPEPhenomenological side s  J/  ’’  +c <G2><G2> <G2><G2>  sum rule near Tc

S H Lee 19 QCD sum rule constraint (Morita, Lee 08)   MeV]  m   MeV]

S H Lee 20 Summary   =constraint-m (Stark effect) GeV /  J M  QCD sum rule limit with  =0  m from QCD Stark Effect Mass and width of J/  near Tc (Morita, Lee 08) NLO QCD Song (07) T/T c  (MeV)

S H Lee 21 Prediction from the bottom-up AdS/QCD model YK, J.-P. Lee, and S. H. Lee, PRD (2007) Deconfinement + temperature effects. Effect of gluon condensate is missing. So, above Tc detailed study about the competition between the temperature and gluon condensate should be done.

S H Lee 22 Summary S-wave vs. P-waves OPE breaks down

S H Lee 23 Summary bb system

S H Lee Expected mass shift for J/  is order 50 MeV at Tc Experimental observation from RHIC is difficult at present 2. Larger effect for excited states 3. Small effect for  but larger  b

S H Lee 25 Linear density approximation Gluon condensate at finite density Gluon condensate in nuclear matter RHIC energy scan FAIR

S H Lee 26 Quantum numbers QCD 2 nd Stark eff. Potential model QCD sum rules Effects of DD loop  c 0 -+ –8 MeV–5 MeV (Klingl, SHL,Weise, Morita) No effect J/  1 -- –8 MeV (Peskin, Luke) -10 MeV (Brodsky et al). –7 MeV (Klingl, SHL,Weise, Morita) <2 MeV (SHL, Ko) c c 0,1, MeV-15 MeV (Morita, Lee) No effect on chi_1  (3686) MeV< 30 MeV  (3770) MeV< 30 MeV Other approaches for mass shift in nuclear matter

S H Lee 27 Anti proton Heavy nuclei Observation of  m through p-A reaction Expected luminosity at GSI 2x cm -2 s -1 Can be done at J-PARC

S H Lee 28 1.Properties of QQ system in sQGP is still controversial 3.Partial observation at nuclear matter through p A reaction might be possible. FAIR, J-PARC 2.The mass and width will suddenly change at Tc  different for s p wave and bottonium  can probe confinement physics Summary 4.A new constraint for heavy quark system near Tc