Thermal Width for Heavy Quarkonium in the Static Limit

Abstract

The thermal widths for heavy quarkonia are calculated for both Coulomb gauge (CG) and Feynman gauge (FG), and the comparisons between these results with the hard thermal loop (HTL) approximation ones are illustrated. The dissociation temperatures of heavy quarkonia in thermal medium are also discussed for CG, FG and HTL cases. It is shown that the thermal widths, derived from the HTL approximation and used in many research studies, cause some errors in the practical calculations at the temperature range accessible in the present experiment, and the problem of gauge dependence cannot be avoided when the complete self energy is used in the derivation of potential.

Dissociation of J/ψ and Y Using Dissociation Energy Criteria in N-Dimensional Space

“…Vija and Thoma [28] extended perturbated gauge theory for the collisional energy loss in QGP at finite chemical potential and temperature. The quarkonium dissociation has been studied by correcting Cornell potential via hard thermal loop-resumed propagator of the gluon [29,30]. The study of the heavy quarkonium binding energy in details is found in [31,32], and the chemical potential effect has been also studied by the methods of dissipative hydrodynamic on quark-gluon plasma, production of photon in QGP, and quark-gluon plasma thermodynamical properties [33][34][35][36][37].…”