Thermodynamic properties and mass spectra of a quarkonium system with Ultra Generalized Exponential–Hyperbolic Potential

Abstract

Etido. P. Inyang, J. E. Ntibi, E. A. Ibanga, F. Ayedun, E. E. Ibekwe, E. S. William and I.O. Akpan

We solved the N-dimensional Klein-Gordon equation analytically using the Nikiforov-Uvarov method to obtain the energy eigenvalues and corresponding wave function in terms of Laguerre polynomials with the ultra-generalized exponential –hyperbolic potential. The results were applied for calculating the mass spectra of heavy mesons including charmonium () and bottomonium () for different quantum states. Also, thermodynamic properties such as free energy, mean energy, entropy, and specific heat were obtained. The data obtained in the study was in excellent agreement with experimental results and with results obtained from others with a maximum error of  0.0059 GeV.