Relativistic Correction to Charmonium Dissociation Temperature

TL;DR

This paper calculates how relativistic effects slightly increase the temperature at which charmonium states dissociate, using covariant equations for heavy quark pairs at finite temperature.

Contribution

It introduces a relativistic approach to determine charmonium dissociation temperatures, improving upon non-relativistic models by solving covariant Schrödinger equations.

Findings

Relativistic corrections increase the $J/$ dissociation temperature by 7-13%.

The temperature varies with the choice of potential between free energy and internal energy.

Wave functions for quarkonium states are obtained at finite temperature.

Abstract

By solving the covariant relativistic Schr\"odinger equations for a pair of heavy quarks, we obtained the wave functions for the ground and excited quarkonium states at finite temperature. In comparison with the non-relativistic calculation, the $J/\psi$ dissociation temperature determined by the infinity size or zero binding energy of the system increases $7%-13%$, when the central potential varies between the free energy and internal energy.