Ágnes Mócsy FIAS & ITP, Frankfurt

1. Quarkonia Correlators above Deconfinement Ágnes Mócsy FIAS & ITP, Frankfurt * Why interested in quarkonia correlators * Calculating correlators * Charm and bottom results - compare to lattice * What have we learned so far in collaboration w/ Péter Petreczky

2. Why interested in quarkonia * Screening prevents J/ binding above Tc Matsui,Satz ‘86 color screening length < size of resonance * Sequential dissolution higher excitations melt earlier Karsch, Mehr, Satz ‘88 * J/ disappears at 1.1Tc in potential model Digal, Petreczky, Satz ‘01 * From the lattice J/ melts abruptly at 1.6Tc < T < 1.9Tc Umeda; Asakawa, Hatsuda ‘04 J/, c survive ~ 1.5Tc & gradually melt by ~ 3Tc + masses don’t change c0, c1 dissolve ~ 1.1Tc Datta, Karsch, Petreczky, Wetzorke ‘04 b unchanged ~ 2Tc & b at ~ 1.15 Tc Petrov, Petreczky QM05 Can quarkonia exist as resonances above deconfinement ? Ágnes Mócsy, Frankfurt

3. Euclidean correlator measured on the lattice Spectral function reconstructed on lattice w/ MEM OR model input deviation from 1 suggests medium effects Ágnes Mócsy, Frankfurt

4. Why the c and J/ behave different? c - significant deviations ~ 3Tc J/ - deviations ~ 1.5Tc Datta, Karsch, Petreczky, Wetzorke ‘04 And why is the b different? - drastic change ~ 1.15Tc although same size as c Petrov, Petreczky QM05 Ágnes Mócsy, Frankfurt

5. Calculating correlators resonances continuum perturbative threshold Mi = 2m + Ei bound state mass Ei binding energy decay constant radial wave function in origin from What potential V(r) ? Ágnes Mócsy, Frankfurt

6. T = 0 coupling a = 0.471 Success s = 0.192 GeV2 string tension T  0 We don’t know. * Screened Cornell potential Karsch, Mehr, Satz ‘88 AM, Petreczky ‘04 * Fitting lattice internal energy singlet free energy + entropy Kaczmarek et al ‘03 Ágnes Mócsy, Frankfurt

7. resonances continuum threshold diffusion/charge fluctuations in vector channel T=0: energy above which no clear resonance observed experimentally static susceptibility Talk by P. Petreczky T 0: above which q travel freely with mass mq(T) Petreczky, Teaney 05 AM, Petreczky, in prep. s0 (T) = 2mq(T) asymptotic valueV1(T) thermal energy for the qq pair Ágnes Mócsy, Frankfurt

8. Results Masses Amplitudes Don’t change substantially, except the \chic Strong drop Ágnes Mócsy, Frankfurt

9. Radii co melts early Bottomonia survives to higher T than charmonia b approximately same size as c Ágnes Mócsy, Frankfurt

10. Charmonium1P scalar c0 properties modified ~1.1Tc Datta et al ‘04 Qualitative agreement w/ lattice Correlator enhanced even though c0 state becomes negligible smooth sharp Enhancement due to thermal shift of the continuum threshold The form of the continuum matters Ágnes Mócsy, Frankfurt

11. Charmonium 1S pseudoscalar No change in latticecorrelator Datta et al ‘04 Moderate increase in correlator at around 0.1 fm sharp smooth Contribution from continuum due to threshold reduction Form of continuum does not matter Ágnes Mócsy, Frankfurt

12. Bottomonium 1P scalar Significant modification at ~ 1.13 Tc Qualitatively similar behavior as for c, even thoughb survives until much higher T than c Size of b' size of c Petrov,Petreczky QM05 sharp smooth Shifted continuum dominant in scalar correlator Ágnes Mócsy, Frankfurt

13. Bottomonium 1S pseudoscalar Petrov, Petreczky, QM05 Drop at large \tau in pseudoscalar due to amplitude reduction Ágnes Mócsy, Frankfurt

14. Charmonium 1S vector Diffusion/fluctuation effects make the J/ correlator smaller than the c Ágnes Mócsy, Frankfurt

15. With the lattice fitted potential: potential changes BUT results qualitatively not Ágnes Mócsy, Frankfurt

16. Charmonium 1S vs 1S+2S pseudoscalar 10-20 % more drop in the pseudoscalar correlator due to melting of the 2S state Not yet detected on lattice. Ágnes Mócsy, Frankfurt

17. Bottomonium 1S vs 1S+2S+3S pseudoscalar 10-20% more drop in the pseudoscalar correlator due to melting of the 2S and 3S states Ágnes Mócsy, Frankfurt

18. Summary Quarkonia melting at Tc - proposed sign for deconfinement challenged by lattice data – some quarkonia survives well above Tc First analysis of quarkonia correlators in potential model Tested w/ different potentials – no qualitative changes in the T-dependence of the correlators T-dependence of the correlators not in agreement with the lattice Increase in correlators – due to threshold decrease lattice doesn’t see Can medium effects on heavy quark boundstates be described by potential models? Do we miss some physics on the lattice? Ágnes Mócsy, Frankfurt