1. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 061 Quarkonia Above Deconfinement Ágnes Mócsy 22 nd Winter Workshop. La Jolla. 03 11-19 06

2. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 062 conclusion as outline  potential models with certain screened potentials can reproduce qualitative features of the lattice spectral function survival of 1S state and melting of 1P state BUT the temperature dependence of the meson correlators is not reproduced simple toy model is consistent with the lattice data  our simple toy model is consistent with the lattice data in collaboration with Péter Peterczky

3. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 063 why are heavy quarkonia interesting ? modification of their properties in a hot medium can tell us about deconfinement color screening length < size of resonance sequential suppression QGP  Debye screening  unbinding of heavy q states J/  suppression  T  ’(2S)  c (1P) J/  (1S )0.9fm0.7fm0.4fm Matsui, Satz 86 Karsch,Mehr,Satz 88

4. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 064 how we study quarkonia/deconfinement ? ExperimentTheoryPhenomenology Potential models NRQCD, pNRQCD Lattice QCD PHENIX STAR today: Potential model versus Lattice

5. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 065 potential models success for quarkonia spectroscopy obtainable from QCD available on the lattice predicted J/  disappears at 1.1T c T = 0 T > T c nonrelativistic. interaction of q and antiq mediated by a potential we don’t know confined deconfined J/  r V(r) in context of deconfinement: can a T-dependent potential describe the medium modification and dissolution of quarkonia? and what is the potential? Digal,Petreczky,Satz 01

6. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 066 from the lattice no change in mass (amplitude) at least until 1.5 T c cc spectral function  ( ,T) correlator = 1 when = = 1 when  ( ,T) =  ( ,T=0) MEMMEMMEMMEM - correlation function of hadronic currents ccUmedaHatsuda,Asakawa Datta et al 04 Petreczky et al 06

7. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 067   c0 state disappears reliable 1S exists at 1.5T c 1P dissolved at 1.1T c not so reliable +   c0

8. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 068 model spectral function  T = 0 T  T c + = M i bound state mass F i decay constant energy above which no clear resonance observed experimentally above which q travel freely with mass m q (T) s 0 continuum threshold

9. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 069 screened potential s 0 decreases asympotic value of the potential determines the continuum threshold: s 0 s 0 (T) = 2m + V ∞ (T) masses, amplitudes obtained solving the Schrödinger eq w/ T-dependent screened Cornell potential  gap between resonance and threshold decreases

10. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0610 quarkonia properties massesamplitudes but lets look at the correlators …  no substantial changes  sharp drop above T c

11. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0611 1P scalar charmonium * correlator increases at 1.1T c * qualitative agreement with lattice * even though the state is melted the correlator is enhanced due to threshold reduction

12. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0612 1S pseudoscalar charmonium * lattice: no change until ~2T c * potential model: moderate increase due to threshold reduction, then decrease due to amplitude reduction * no agreement with lattice

13. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0613 include excited states  10-20 % drop in the  c correlator due to the melting of the 2S state * effect not seen on the lattice

14. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0614 lattice internal energy as potential even worse! disfavored by lattice conceptually difficult to identify Shuryak, Zahed 04 Wong 05 Alberico et al 05  large increase near T c leads to increase of mass and amplitude & Kaczmarek et al

15. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0615 what we learned sofar *reduces the amplitudes *reduces the threshold *melts higher excited states Screening in the plasma seems not to be responsible for quarkonia suppression possible reason: time scale of screening is not small compared to the time scale of heavy quark motion screening  c and  c correlators don’t agree with lattice

16. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0616 a toy model * * no temperature dependent screening * * continuum threshold reduction * * no modification of the 1S properties - we use PDG * * melting of 2S and 3S states * * melting of the 1P state determine  T = 0 T  T c 1S2S3S T = 0 T  T c  1P

17. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0617 * * appropriate choice of s 0 can keep the  c correlator unchanged and the  c0 correlator increased * * G/G recon as seen on the lattice

18. Ágnes Mócsy22 nd Winter Workshop. La Jolla. 03 15 0618 conclusions Temperature-dependence of heavy quarkonia lattice correlators are not explained with either screened Cornell potential or lattice internal energy as potential. Screening likely not responsible for quarkonia suppression. A simple toy model with no screening does a better job. Ongoing: beyond simple toy model … a complete calculation of nonrelativistic Green function