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 00 m J/ -44 MeV-105 MeV311 MeV mm -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 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 MeV5 MeV (Klingl, SHL,Weise, Morita) No effect J/ 1 -- 8 MeV (Peskin, Luke) -10 MeV (Brodsky et al). 7 MeV (Klingl, SHL,Weise, Morita)