H. M. Mansour | Searcharxiv

arXiv2019

Dissociation of Quarkonium in hot and Dense Media in an Anisotropic Plasma in the Non-Relativistic Quark Model

In this paper, quarkonium dissociation is investigated in an anisotropic plasma in the hot and dense media. For that purpose, the multidimensional Schrodinger equation is solved analytically by Nikiforov-Uvarov (NU) method for the real part of the potential in an anisotropic medium. The binding energy and dissociation temperature are calculated. In comparison with an isotropic medium, the binding energy of quarkonium is enhanced in the presence of an anisotropic medium. The present results show that the dissociation temperature increases with increasing anisotropic parameter for 1S state of the charmonium and bottomonium. We observe that the lower baryonic chemical potential has small effect in both isotropic and anisotropic media. A comparison is presented with other pervious theoretical works.

hep-ph↗

arXiv2015

Nucleon Properties in the Quantized Linear Sigma Model at Finite Temperature and Chemical Potential

The linear sigma model at finite temperature and chemical potential is systematically studied using the coherent-pair approximation, in which fully taking quantum of fields are included. The expectation value of the chiral Hamiltonian density is minimized and the resulting equations for the nucleon are solved. The qualitative features of the quantized sigma and pion fields are strong sensitive to the change of temperature and baryonic chemical potential and are in agreement with the mean-field approximation calculations. It is noticed that the nucleon mass increases with increasing coherence parameter. In addition, the nucleon mass increases with increasing temperature and the baryonic chemical potential and then it decreases at higher values of the temperature and baryonic chemical potential. The obtained results show that the mean-square radius of the proton and the neutron increase with increasing temperature or the baryonic chemical potential and that the pion-nucleon coupling constant decreases with the temperature or chemical potential. We conclude that the coherent-pair approximation successfully give better description of the nucleon properties at finite temperature and baryonic chemical potential

hep-ph↗