Heavy Quarkonia in Quark-Gluon Plasma

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Abstract
Using the color-singlet free energy F_1 and total internal energy U_1 obtained by Kaczmarek et al. for a static quark and an antiquark in quenched QCD, we study the binding energies and wave functions of heavy quarkonia in a quark-gluon plasma. By minimizing the grand potential in a simplified schematic model, we find that the proper color-singlet Q-Qbar potential is given by U_Q=f_F*F_1+(1-f_F)*U_1 where f_F=3/(3+a(T)) and a(T)=3(pressure)/(energy density) is from the quark-gluon plasma equation of state. We find that J/psi is weakly bound above the phase transition temperature T_c, and it dissociates spontaneously above 1.56 T_c, while chi_c and psi' are unbound in the quark-gluon plasma. For comparison, we evaluate the heavy quarkonium binding energies also in other models using the free energy F_1 or the total internal energy U_1 as the Q-Qbar potential. The comparison shows that the model with the U_Q potential gives dissociation temperatures that agree best with those from spectral function analyses. We evaluate the cross section for J/psi dissociation by collision with a gluon and its inverse process, in order to determine the J/psi dissociation width and the rate of J/psi production by recombining c and cbar in the quark gluon plasma.

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