Analytical Solutions of the Schrödinger Equation with Class of Yukawa Potential for a Quarkonium System Via Series Expansion Method

E. P. Inyang, E. P. Inyang, I. O. Akpan, 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
I. O. Akpan: University of Calabar, Nigeria
J. E. Ntibi: University of Calabar, Nigeria
E. S. William: University of Calabar, Nigeria

European Journal of Applied Physics, 2020, vol. 2, issue 6

Abstract: A class of Yukawa potential is adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. The potential was made to be temperature-dependent by replacing the screening parameter with Debye mass. We solved the radial Schrödinger equation analytically using the series expansion method and obtained the energy eigenvalues. The present results are applied for calculating the mass spectra of heavy mesons such as charmonium and bottomonium . Two special cases were considered when some of the potential parameters were set to zero, resulting into Hellmann potential, and Coulomb potential, respectively. The present potential provides satisfying results in comparison with experimental data and the work of other researchers.

Keywords: Schrödinger equation; series expansion method; class of Yukawa potential; heavy mesons (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:epw:physic:v:2:y:2020:i:6:id:11026

DOI: 10.24018/ejphysics.2020.2.6.26

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