On the fate of quarkonia in quark gluon plasma medium within a Quasi-particle model

Abstract

We work on equations of state for hot QCD obtained from a hard thermal loop expression for the gluon self-energy, by employing the quasi-parton equilibrium distribution functions. The method involves mapping the interaction part of the equation of state to an effective fugacity of otherwise non-interacting quasi-gluons. Using the quasi-gluon distribution function, we have studied the dissociation of heavy Quarkonium in hot QCD medium by investigating the medium modification to a heavy quark potential. Employing the in-medium (corrected) potential while considering the anisotropy (both oblate and prolate cases) in the medium, the thermal widths and the binding energies of the heavy quarkonia states (s-wave charmonia and s-wave bottomonia specifically, for radial quantum numbers n=1 and 2) have been determined. In the present article, we shall consider an anisotropic QGP medium which is described in terms of quasi-particle degree of freedom based on a recent proposed quasi-particle model for hot QCD equation of state. The presence of anisotropy makes the real-part of the potential stronger but the imaginary-part is weakened slightly. However, since the medium corrections to the imaginary-part is a small perturbation to the vacuum part, overall the anisotropy makes the dissociation temperatures higher, compared to isotropic medium.