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

Author

Listed:
  • E. P. Inyang
  • E. P. Inyang
  • I. O. Akpan
  • J. E. Ntibi
  • E. S. William

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.

Suggested Citation

  • 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.
    • Handle: RePEc:epw:physic:v:2:y:2020:i:6:id:11026
    DOI: 10.24018/ejphysics.2020.2.6.26
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    Cited by:

    1. 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.
    2. E. P. Inyang & B. I. Ita & E. P. Inyang, 2021. "Relativistic Treatment of Quantum Mechanical Gravitational-Harmonic Oscillator Potential," European Journal of Applied Physics, European Open Science, vol. 3(3), pages 42-47, May.
    3. E. B. Ettah, 2021. "The Schrödinger Equation with Deng-Fan-Eckart Potential (DFEP): Nikiforov-Uvarov-Functional Analysis (NUFA) Method," European Journal of Applied Physics, European Open Science, vol. 3(5), pages 58-62, September.
    4. P. O. Ushie & C. M. Ekpo & T. O. Magu & P. O. Okoi, 2021. "Arbitrary l-Solutions of the Schrodinger Equation in Arbitrary Dimensions for the Energy Dependent Generalized Inverse Quadratic Yukawa Potential," European Journal of Applied Physics, European Open Science, vol. 3(2), pages 34-43, March.
    5. 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.

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