Heavy quarkonium dissociation in the presence of magnetic field and anisotropy using dissociation energy criterion

TL;DR

This study investigates how magnetic fields and anisotropy affect the dissociation temperatures of heavy quarkonium states using a modified potential and energy criterion, revealing that anisotropy raises and magnetic fields lower dissociation temperatures.

Contribution

It introduces a medium-modified Cornell potential incorporating anisotropy and magnetic field effects to analyze quarkonium dissociation temperatures.

Findings

Dissociation temperature increases with anisotropy.

Dissociation temperature decreases with magnetic field.

Binding energy decreases with anisotropy, increases with magnetic field.

Abstract

In this article, we have studied the dissociation temperature of 1S and 2S states of heavy quarkonium in the presence of anisotropy and a strong magnetic field background using the dissociation energy criterion. We utilized the medium-modified form of the Cornell potential, which depends on temperature as well as the anisotropic parameter {\xi} and the magnetic field. The binding energy (B.E.) and dissociation energy (D.E.) of heavy quarkonium have been examined for different values of the magnetic field and anisotropy. It is noted that B.E. starts decreasing from higher values as we increase the anisotropy, while D.E. exhibits the opposite behavior. The dissociation temperature appears to increase with anisotropy, while it decreases with the magnetic field, as shown in Table 1 and 2 respectively. These results align well with recent research findings.