Mass spectrum of heavy quarkonium for screened Kratzer potential (SKP) using series expansion method
Department of Physics, Akwa Ibom State University, Ikot Akpaden, P.M.B. 1167, Uyo, Nigeria
2 Department of Physics, University of Calabar, Calabar, Nigeria
Accepted: 8 January 2021
Published online: 17 January 2021
In this study, the radial Schrödinger equation is solved with the screened Kratzer potential using the series expansion method. The bound state energy spectra are obtained. To check the correctness of the result obtained from this method, we carry out suitable adjustments to the screened Kratzer potential parameters resulting in potential models, such as the Kratzer and Coulomb potentials are deduced as special cases. The numerical values of the energy spectra of the special cases (Kratzer potential) for hydrogen chloride and lithium hydride diatomic molecules are computed for different quantum numbers; n and l and the results are in consonance with the theoretical works of similar investigation. The expression for the energy spectra is applied to obtain the mass spectra of heavy quarkonium systems (charmonium and bottomonium). The numerical results agree with the experimental values and theoretical studies in previous works. Our results will have possible applications in high energy physics, molecular physics, etc.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021