Analytical Solutions of the Schrödinger Equation with Kratzer-screened Coulomb Potential for a Quarkonium System

Authors

  • Etido P Inyang Department of Pure and Applied Sciences, National Open University of Nigeria, Abuja
  • Ephraim P Inyang Theoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar Nigeria
  • Joseph E Ntibi Theoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar Nigeria
  • Eddy S William Theoretical Physics Group, Department of Physics, University of Calabar, PMB 1115, Calabar Nigeria

DOI:

https://doi.org/10.48165/

Keywords:

Schrödinger equation, Kratzer potential, screened Coulomb potential, series expansion method, heavy quarkonium

Abstract

In this work, we obtain the Schrödinger equation solutions for the Kratzer potential plusscreened Coulomb potential model using the series expansion method. The energyeigenvalues is obtained in non-relativistic regime and the corresponding unnormalized eigenfunction. Three special cases were obtained. We applied the present results to calculateheavy-meson masses of charmonium ܿܿ̅ and bottomonium ܾܾത, and we got the numericalvalues for1S, 2S, 1P,2P, 3S, 4S ,1D,2D and 1F states. The results are in good agreement withexperimental data and the work of other researchers.

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Published

2021-05-11

Issue

Vol. 40 No. 1 (2021): Bulletin of Pure and Applied Sciences Physics (Jan-Jun) 2021

Section

Articles

How to Cite

Analytical Solutions of the Schrödinger Equation with Kratzer-screened Coulomb Potential for a Quarkonium System . (2021). Bulletin of Pure and Applied Sciences – Physics, 40(1), 14–24. https://doi.org/10.48165/