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

Author

Listed:
  • E. S. William

    (University of Calabar, Nigeria)

  • J. A. Obu

    (University of Calabar, Nigeria)

  • I. O. Akpan

    (University of Calabar, Nigeria)

  • E. A. Thompson

    (University of Calabar, Nigeria)

  • E. P. Inyang

    (University of Calabar, Nigeria)

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.

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Handle: RePEc:epw:physic:v:2:y:2020:i:6:id:11028
DOI: 10.24018/ejphysics.2020.2.6.28
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