Research Article

Diatomic Molecules and Mass Spectrum of Heavy Quarkonium System with Kratzer- Screened Coulomb Potential (KSCP) through the Solutions of the Schrödinger Equation

E. P. Inyang
University of Calabar, Nigeria
* Corresponding author
E. P. Inyang
University of Calabar, Nigeria
J. Karniliyus
Adamawa State of College of Education Hong, Nigeria
J. E. Ntibi
University of Calabar, Nigeria
E. S. William
University of Calabar, Nigeria
DOI icon 10.24018/ejphysics.2021.3.2.61

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Submitted 2021-03-15
Published 2021-04-27

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Article Main Content

In this work, we obtain solutions of the Schrödinger equation with Kratzer-screened Coulomb potential (KSCP) model using the series expansion method. Explicitly, we compute the bound state energy eigenvalues for selected diatomic molecules of N2, CO, NO, and CH, respectively, for the various vibrational and rotational quantum states and the numerical energy eigenvalues agree with the existing literature. Three special cases were considered. The energy eigenvalues are applied to obtain the mass spectra of heavy quarkonium system such as charmonium and bottomonium. The results agree with the experimental data and other recent theoretical studies.

Keywords: Schrödinger equation; Kratzer potential; screened Coulomb potential; series expansion method; Heavy quarkonium

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