Applicability of Varshni potential to predict the mass spectra of heavy mesons and its thermodynamic properties

Abstract

In this present study, the radial Schrödinger equation is solved analytically with Varshni potential model using the Nikiforov-Uvarov method. The energy equation and corresponding wave function were obtained. The analytical energy expression was used to predict the mass spectra of heavy quarkonia such as charmonium and bottomonium . Also, the thermodynamic properties such as free energy, mean energy, entropy, and specific heat were obtained. The results obtained with the present model agree excellently with experimental data and the work of other researchers with a maximum error of