Analytycal study on the applicability of generalized Yukawa potential to predict the mass spectra of the heavy quarkonium

We solved the radial Schrödinger equation analytically using the Nikiforov-Uvarov method to obtain the energy eigenvalues and corresponding wavefunction in terms of Laguerre polynomials with the Generalized Yukawa potential (GYP). The present results are applied for calculating the mass spectra of heavy mesons such as charmonium ( cc ) and bottomonium (bb ) for different quantum states. The present potential provides excellent results in comparison with experimental data with a maximum error of 0.0157 GeV and work of other researchers.