Bound State Solutions of the Dirac-Shifted Tietz-Wei Potential Plus a Generalized Ring-Shaped Potential with Spin and Pseudospin symmetry

In this study, approximate bound state solutions of the Dirac equation with the newly proposed shifted Tietz-Wei (sTW) potential were obtained for any arbitrary quantum number. Using Generalized Parametric Nikiforov Methods, the eigenenergy equations as well as the upper and lower spinors of the wav...

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Bibliographic Details
Published in:arXiv.org 2018-12
Main Authors: Suleman, K O, Oyewumi, K J, Sunmonu, L A, Ajadi, D A
Format: Article
Language:English
Subjects:
Dirac equation
Mathematical analysis
Polynomials
Spin-orbit interactions
Symmetry
Wave functions
Online Access:Get full text
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Summary:In this study, approximate bound state solutions of the Dirac equation with the newly proposed shifted Tietz-Wei (sTW) potential were obtained for any arbitrary quantum number. Using Generalized Parametric Nikiforov Methods, the eigenenergy equations as well as the upper and lower spinors of the wave function corresponding to spin and pseudospin symmetric solutions were obtained by solving the radial equation. The Pekeris approximation scheme in terms of the parameters of the shifted Tietz-Wei potential was used to deal with the spin-orbit coupling potential term k(k+1)/r^2. The solutions obtained for the radial and polar angular parts of the wave functions were written in terms of the well-known Jacobi polynomial.
ISSN:2331-8422