1. Ágnes Mócsy SQM. Los Angeles. 03 26 061 Heavy Quarkonia Above Deconfinement Ágnes Mócsy Strangeness in QM. Los Angeles. 03 26-31 06

2. Ágnes Mócsy SQM. Los Angeles. 03 26 062 conclusion  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 without screening consistent with the lattice  simple toy model without screening consistent with the lattice in collaboration with Péter Peterczky

3. Ágnes Mócsy SQM. Los Angeles. 03 26 063 why are heavy quarkonia interesting ? in medium modification of their properties can tell about deconfinement color screening length < size of resonance QGP  Debye screening  unbinding of heavy q states J/  suppression  sequential suppression T  ’(2S)  c (1P) J/  (1S )0.9fm0.7fm0.4fm

4. Ágnes Mócsy SQM. Los Angeles. 03 26 064 potential models T = 0 T > T c interaction of q and antiq mediated by a potential we don’t know screened potential masses, amplitudes from solving the Schrödinger eq J/  amplitudes show sharp drop above T c can have 1S survive ~ 2T c and 1P melt near T c

5. Ágnes Mócsy SQM. Los Angeles. 03 26 065 from the lattice no change in mass (amplitude) cc spectral function  ( ,T)correlator = 1 when = = 1 when  ( ,T) =  ( ,T=0) 1S exists at 1.5T c   c0 1P dissolved at 1.1T c not so reliable reliable we should compare models to correlators

6. Ágnes Mócsy SQM. Los Angeles. 03 26 066 model spectral function  T = 0 T  T c + = above which q travel freely with mass m q (T)= m + V ∞ (T)/2 continuum threshold s 0 = 2m q (T)

7. Ágnes Mócsy SQM. Los Angeles. 03 26 067 1P scalar charmonium correlator * correlator increases at 1.1T c - qualitative agreement * even though the state is melted the correlator is enhanced due to threshold reduction

8. Ágnes Mócsy SQM. Los Angeles. 03 26 068 1S pseudoscalar charmonium correlator * lattice: no change until ~2T c * model: moderate increase due to threshold reduction, then decrease due to amplitude reduction * no agreement with lattice

9. Ágnes Mócsy SQM. Los Angeles. 03 26 069 include excited states  10-20 % drop in the  c correlator due to the melting of the 2S state * effect not seen on the lattice 1S

10. Ágnes Mócsy SQM. Los Angeles. 03 26 0610 what we learned sofar *reduces the amplitudes *reduces the threshold *melts higher excited states 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 Screening likely not responsible for quarkonia suppression.

11. Ágnes Mócsy SQM. Los Angeles. 03 26 0611 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

12. Ágnes Mócsy SQM. Los Angeles. 03 26 0612 * appropriate choice of s 0 can keep the  c correlator unchanged and the  c0 correlator increased * G/G recon as seen on the lattice

13. Ágnes Mócsy SQM. Los Angeles. 03 26 0613 conclusions Temperature-dependence of  c and  c lattice correlators is NOT explained with screened Cornell potential. (lattice internal energy as potential does even worse) 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 J.Casalderrey-Solana, AM, P.Petreczky

14. Ágnes Mócsy SQM. Los Angeles. 03 26 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