Dissociation of J/$\psi$ and $\Upsilon$ using dissociation energy criteria in N-dimensional space

Abstract

The analytical exact iteration method (AEIM) have been used widely to calculate N-dimensional radial Schrodinger equation with medium modified form of Cornell potential and is generalized to the finite value of magnetic field (eB) with quasi-particle approach in hot quantum chromodynamics (QCD) medium. In N-dimensional space the energy eigen values have been calculated for any states (n,l). These results have been used to study the properties of quarkonium states (i.e, the binding energy and mass spectra, dissociation temperature and thermodynamical properties in the N-dimensional space). We have determined the binding energy of the ground states of quarkonium with magnetic field and dimensionality number. We have also determined the effects of magnetic field and dimensionality number on mass spectra for ground states of quarkonia. But main result is quite noticeable for the values of dissociation temperature in terms of magnetic field and dimensionality number for ground states of quarkonia after using the criteria of dissociation energy. At last, we have also calculated the thermodynamical properties of QGP (i.e., pressure, energy density and speed of sound) using the parameter eB with ideal equation of states (EoS).