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

Author

Listed:
  • E. P. Inyang
  • E. P. Inyang
  • J. Karniliyus
  • J. E. Ntibi
  • E. S. William

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.

Suggested Citation

  • E. P. Inyang & E. P. Inyang & J. Karniliyus & J. E. Ntibi & E. S. William, 2021. "Diatomic Molecules and Mass Spectrum of Heavy Quarkonium System with Kratzer- Screened Coulomb Potential (KSCP) through the Solutions of the Schrödinger Equation," European Journal of Applied Physics, European Open Science, vol. 3(2), pages 48-55, March.
    • Handle: RePEc:epw:physic:v:3:y:2021:i:2:id:11061
    DOI: 10.24018/ejphysics.2021.3.2.61
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    References listed on IDEAS

    as
    1. E. S. William & J. A. Obu & I. O. Akpan & E. A. Thompson & E. P. Inyang, 2020. "Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn," European Journal of Applied Physics, European Open Science, vol. 2(6), November.
    2. repec:ibn:ijcjnl:v:10:y:2018:i:3:p:99-106 is not listed on IDEAS
    3. E. P. Inyang & E. P. Inyang & I. O. Akpan & J. E. Ntibi & E. S. William, 2020. "Analytical Solutions of the Schrödinger Equation with Class of Yukawa Potential for a Quarkonium System Via Series Expansion Method," European Journal of Applied Physics, European Open Science, vol. 2(6), November.
    Full references (including those not matched with items on IDEAS)

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