Research Article

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

E. S. William
University of Calabar, Nigeria
* Corresponding author
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
DOI icon 10.24018/ejphysics.2020.2.6.28

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Submitted 2020-11-05
Published 2020-12-08

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Article Main Content

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.

Keywords: D-dimensional Schrodinger equation, Nikiforov-Uvarov method, spin-orbit and Coulomb interaction terms, Yukawa potential

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