Application of Hulthén-Hellmann Potential (HHP) to Predict the Mass-Spectra of Heavy Mesons

Abstract

O. Umukoro and J. A. Obu

In this study, we adopt Hulthén plus Hellmann potentials as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. The radial Schrödinger equation was solved using the series expansion method and the energy equation was obtained. The energy equation is applied for predicting the mass spectra of heavy mesons such as charmonium and bottomonium. Four special cases were considered when some of the potential parameters were set to zero, resulting in Hellmann potential, Yukawa potential, Coulomb potential, and Hulthén potential, respectively. The present potential provides satisfying results in comparison with experimental data and work of other researchers.