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, E. P. Inyang, J. Karniliyus, J. E. Ntibi and E. S. William
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E. P. Inyang: University of Calabar, Nigeria
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

European Journal of Applied Physics, 2021, vol. 3, issue 2, 48-55

Abstract: 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 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:epw:physic:v:3:y:2021:i:2:id:11061

DOI: 10.24018/ejphysics.2021.3.2.61

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