Quarkonium dissociation properties of hot QCD medium at momentum-anisotropy in the N-dimensional space using Quasi-particle Debye mass with finite baryonic chemical potential

TL;DR

This paper investigates how anisotropy, temperature, and baryonic chemical potential affect quarkonium dissociation in hot QCD media, using an analytical method to compute energy spectra in N-dimensional space.

Contribution

It extends the study of quarkonium properties by incorporating N-dimensional space, anisotropy, and finite chemical potential with an analytical approach.

Findings

Anisotropy lowers the dissociation temperature of quarkonium.

Quasi-particle Debye mass exceeds leading order Debye mass at finite chemical potential.

Energy eigenvalues for quarkonium states are calculated in N-dimensional space.

Abstract

The analytical exact iteration method (AEIM) have been used to calculate the N-dimensional radial schrodinger equation with the real part of complex-valued potential and it is generalized to the finite value of anisotropy ({\xi}), temperature and baryonic chemical potential. In N-dimensional space the energy eigen values have been calculated for any states (n,l). The present results have been used to study the properties of quarkonium states (i.e, the binding energy and mass spectra in the N-dimensional space). The influences of anisotropy ({\xi}) on the dissociation temperature(TD) has been also calculated for the ground state of quarkonia at N=0 and \mu = 300MeV . The anisotropy in oblate case, thus obtained, makes the dissociation temperature(TD) lower as compared to the isotropic case . We also seen that Leading order Debye mass is greater than that of Quasi-particle Debye mass after introducing the baryonic chemical potential.