Dissociation of Quarkonium in hot and Dense Media in an Anisotropic Plasma in the Non-Relativistic Quark Model

TL;DR

This study analyzes how quarkonium dissociates in hot, dense, and anisotropic media using an analytical solution to the Schrödinger equation, revealing increased binding energy and dissociation temperature with anisotropy.

Contribution

It provides an analytical approach to evaluate quarkonium dissociation in anisotropic media, extending previous isotropic models with new insights into anisotropy effects.

Findings

Binding energy is higher in anisotropic media.

Dissociation temperature increases with anisotropy.

Lower baryonic chemical potential has minimal effect.

Abstract

In this paper, quarkonium dissociation is investigated in an anisotropic plasma in the hot and dense media. For that purpose, the multidimensional Schrodinger equation is solved analytically by Nikiforov-Uvarov (NU) method for the real part of the potential in an anisotropic medium. The binding energy and dissociation temperature are calculated. In comparison with an isotropic medium, the binding energy of quarkonium is enhanced in the presence of an anisotropic medium. The present results show that the dissociation temperature increases with increasing anisotropic parameter for 1S state of the charmonium and bottomonium. We observe that the lower baryonic chemical potential has small effect in both isotropic and anisotropic media. A comparison is presented with other pervious theoretical works.