Ágnes Mócsy FIAS & ITP, Frankfurt Quarkonia Correlators above Deconfinement * Calculating correlators * Why interested in quarkonia correlators * Charm.

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

Matsui,Satz ‘86 * Screening prevents J/  binding above T c * Sequential dissolution higher excitations melt earlier Karsch, Mehr, Satz ‘88 color screening length < size of resonance * J/  disappears at 1.1T c in potential model Digal, Petreczky, Satz ‘01 Why interested in quarkonia Ágnes Mócsy, Frankfurt Asakawa, Hatsuda ‘04Umeda; Datta, Karsch, Petreczky, Wetzorke ‘04  c 0,  c 1 dissolve ~ 1.1T c J/  melts abruptly at 1.6T c < T < 1.9T c  b unchanged ~ 2T c &  b at ~ 1.15 T c * From the lattice Petrov, Petreczky QM05 J/ ,  c survive ~ 1.5T c & gradually melt by ~ 3T c + masses don’t change Can quarkonia exist as resonances above deconfinement ?

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

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

resonancescontinuum bound state mass decay constant threshold from M i = 2m + E i E i binding energy Calculating correlators What potential V(r) ? radial wave function in origin perturbative Ágnes Mócsy, Frankfurt

Kaczmarek et al ‘03 T = 0 Success T  0 singlet free energy + entropy  = GeV 2 coupling a = string tension * Screened Cornell potential * Fitting lattice internal energy AM, Petreczky ‘04 Ágnes Mócsy, Frankfurt We don’t know. Karsch, Mehr, Satz ‘88

resonancescontinuum diffusion/charge fluctuations threshold T=0: energy above which no clear resonance observed experimentally in vector channel s 0 (T) = 2m q (T) T  0: above which q travel freely with mass m q (T) asymptotic value V 1 (T) thermal energy for the qq pair static susceptibility Ágnes Mócsy, Frankfurt Petreczky, Teaney 05 AM, Petreczky, in prep. Talk by P. Petreczky

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

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

Charmonium 1P scalar  c0 properties modified ~1.1T c Qualitative agreement w/ lattice Datta et al ‘04 Correlator enhanced even though  c0 state becomes negligible Enhancement due to thermal shift of the continuum threshold Ágnes Mócsy, Frankfurt The form of the continuum matters sharp smooth

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

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

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

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

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

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

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

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