Heavy quark complex potential in a strongly magnetized hot QGP medium

TL;DR

This paper investigates how a strong magnetic field influences the potential between heavy quarks in a hot quark-gluon plasma, revealing increased screening and quarkonium dissociation.

Contribution

It provides a detailed analysis of the modifications to the heavy quark potential under strong magnetic fields using the lowest Landau level approximation.

Findings

Screening of the real potential increases with magnetic field strength.

Imaginary part of the potential grows, indicating broader quarkonium states.

Enhanced magnetic field leads to earlier quarkonium dissociation.

Abstract

We study the effect of a strong constant magnetic field, generated in relativistic heavy ion collisions, on the heavy quark complex potential. We work in the strong magnetic field limit with the lowest Landau level approximation. We find that the screening of the real part of the potential increases with the increase in the magnetic field. Therefore, we expect less binding of the $ Q\bar{Q} $ pair in the presence of a strong magnetic field. The imaginary part of the potential increases in magnitude with the increase in the magnetic field, leading to an increase of the width of the quarkonium state with the magnetic field. All of these effects result in the early dissociation of $ Q\bar{Q} $ states in a magnetized hot quark-gluon plasma medium.