Study of Quarkonium properties using SUSYQM method with baryonic chemical potential

Abstract

In this article, we employed the Quasi-particle debye mass at finite baryonic chemical potential which can be used in the medium modified heavy quark potential to solve the N-dimensional Schroedinger equation. The bound state solution of the Schroedinger equation using Cornell potential is obtained by Super-Symmetry Quantum Mechanics (SUSYQM) method. The thermodynamical properties of quark matter is calculated by using baryonic chemical potential (mu). We found that the binding energy of quarkonia dissociates more with quasi-particle debye mass in comparison to non-perturbative and leading order debye mass. The medium modified form of potential (real part) has been used to study the thermodynamical properties of quark matter with different equation of states (EoS) (i.e., pressure, energy density and speed of sound) with {mu}. The mass spectra of quarkonia has been also calculated in the N-dimensional space, and compared with the experimental data at N=3. We have also calculated the dissociation temperature (T_D) for the ground states of quarkonium using the dissociation criteria of thermal width.

20 pages, 9 figures

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