Studying quarkonium in the anisotropic hot-dense quark-gluon plasma medium in the framework of generalized fractional derivative

Abstract

By applying the generalized fractional-Nikiforov-Uvarov (GF-NU) approach, the radial Schrodinger equation is analytically solved. The energy eigenvalues and associated functions are calculated by extending the interaction potential to an anisotropic hot-dense QCD medium. For heavy quarkonium masses like charmonium and bottomonium, the special cases of the mass of quarkonium are obtained at α=β=1. The effect of the fraction parameter is investigated within the context of the QCD medium on binding energy and dissociation temperature when baryonic chemical potential is included. Recent works are compared and studied. Therefore, the fractional quark model correctly represents heavy mesons in an anisotropic hot-dense QCD medium, according to the current findings.