Mass spectra and thermal properties of deformed Schrödinger Equation for pseudoharmonic potential

In this research, non-relativistic Schrödinger Equation was solved and the related quantum mechanical properties were solved using the Nikiforov–Uvarov (NU) method. The energy spectrum and wave function of the pseudoharmonic potential model are obtained. We applied the energy eigenvalues to investigate the mass spectra (MS) of heavy mesons such as charmonium and bottomonium. In addition, the partition function is calculated in a closedform and is used to obtain expressions for other thermal properties such as vibrational free energy, mean energy, vibrational entropy, and vibrational heat capacity. The MS was found to be in agreement with the experimental data and previously reported results of others.