Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in the N-dimensional space

TL;DR

This paper solves the N-dimensional Schrödinger equation with a generalized Cornell potential at finite temperature and chemical potential to study heavy quarkonium properties, including binding energies, mass spectra, and dissociation temperatures.

Contribution

It introduces an analytical method to compute heavy quarkonium properties in N-dimensional space at finite temperature and chemical potential, extending previous models.

Findings

Calculated binding energies and mass spectra of charmonium and bottomonium.

Determined dissociation temperatures for heavy quarkonium states.

Discussed the effect of dimensionality on dissociation temperatures.

Abstract

The N-dimensional radial Schr\"odinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been calculated in the N-dimensional space for any state (n, l). The present results have been applied for studying quarkonium properties such as charmonium and bottomonium masses. The binding energies and the mass spectra of heavy quarkonia are studied in the N-dimensional space. The dissociation temperatures for different states of heavy quarkonia are calculated in the three dimensional space. The influence of dimensionality number (N) has been discussed on the dissociation temperatures. A comparison is studied with other recent works. We conclude that the AEIM successes to predict the heavy-quarkonium properties at finite temperature and chemical potential.