Theoretical Investigation of Meson Spectrum via Exact Quantization Rule Technique

  • Etido P. Inyang Department of Physics, National Open University of Nigeria, Jabi, Abuja, Nigeria https://orcid.org/0000-0002-5031-3297
  • Fina O. Faithpraise Department of Physics, University of Calabar, P.M.B 1115, Calabar, Nigeria https://orcid.org/0000-0001-8222-2034
  • Joseph Amajama Department of Physics, University of Calabar, P.M.B 1115, Calabar, Nigeria
  • Eddy S. William Theoretical Physics Group, Department of Physics, University of Calabar, P.M.B 1115, Calabar, Nigeria https://orcid.org/0000-0002-5247-5281
  • Effiong O. Obisung Department of Physics, University of Calabar, P.M.B 1115, Calabar, Nigeria
  • Joseph E. Ntibi Department of Physics, University of Calabar, P.M.B 1115, Calabar, Nigeria bTheoretical Physics Group, https://orcid.org/0000-0002-7908-2840
DOI: https://doi.org/10.26565/2312-4334-2023-1-05
Keywords: Cornell potential, Schrödinger equation, Exact Quantization Rule, Mesons

Abstract

The energy eigenvalues with the Extended Cornell potential were obtained by analytically solving the radial Schrödinger equation using the Exact Quantization Rule technique (ECP). It was then used for computing the mass spectra of the heavy mesons like charmonium (cc-) and bottomonium (bb-) as well as heavy-light mesons such as bottom-charm bc- and charm-Strange cs- for various quantum states. Two exceptional cases such as the Coulomb and Cornell potentials, were taken into consideration when some of the potential parameters were set to zero. The current potential offers good outcomes when compared to experimental data and work of other researchers with a maximum error of  0.0065 GeV.

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Published
2023-03-02
Cited
How to Cite
Inyang, E. P., Faithpraise, F. O., Amajama, J., William, E. S., Obisung, E. O., & Ntibi, J. E. (2023). Theoretical Investigation of Meson Spectrum via Exact Quantization Rule Technique . East European Journal of Physics, (1), 53-62. https://doi.org/10.26565/2312-4334-2023-1-05
Issue
No. 1 (2023): East European Journal of Physics
Section
Original Papers

Copyright (c) 2023 Etido P. Inyang, Fina O. Faithpraise, Joseph Amajama, Eddy S. William, Effiong O. Obisung, Joseph E. Ntibi

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