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

E. S. William, J. A. Obu, I. O. Akpan, E. A. Thompson and E. P. Inyang
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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

European Journal of Applied Physics, 2020, vol. 2, issue 6

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.

Keywords: D-dimensional Schrodinger equation; Nikiforov-Uvarov method; spin-orbit and Coulomb interaction terms; Yukawa potential (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:epw:physic:v:2:y:2020:i:6:id:11028

DOI: 10.24018/ejphysics.2020.2.6.28

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