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Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn

Author

Listed:
  • E. S. William
  • J. A. Obu
  • I. O. Akpan
  • E. A. Thompson
  • E. P. Inyang

Abstract

The analytical solutions of the radial D-dimensional Schrödinger equation for the Yukawa potential plus spin-orbit and Coulomb interaction terms are presented within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The energy eigenvalues obtained are employed to calculate the single-energy spectrum of ⁵⁶Ni and ¹¹⁶Sn for distinct quantum states. We have also obtained corresponding normalized wave functions for the magic nuclei manifested in terms of Jacobi polynomials. However, the energy spectrum without Spin-orbit and Coulomb interaction terms precisely matches the quantum mechanical system of the Yukawa potential field at any arbitrary state.

Suggested Citation

  • 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.
    • Handle: RePEc:epw:physic:v:2:y:2020:i:6:id:11028
    DOI: 10.24018/ejphysics.2020.2.6.28
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    References listed on IDEAS

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    1. Arnold F. Nikiforov & Vasilii B. Uvarov, 1988. "Special Functions of Mathematical Physics," Springer Books, Springer, number 978-1-4757-1595-8, January.
    2. 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.
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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. 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.

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