Solutions of the Dirac equation with the shifted Deng-Fan potential including Yukawa-like tensor interaction

Abstract

By using the Nikiforov-Uvarov method, we give the approximate analytical solutions of the Dirac equation with the shifted Deng-Fan potential including the Yukawa-like tensor interaction under the spin and pseudospin symmetry conditions. After using an improved approximation scheme, we solved the resulting schrödinger-like equation analytically. Numerical results of the energy eigenvalues are also obtained, as expected, the tensor interaction removes degeneracies between spin and pseudospin doublets.

20 pages, 2 tables, 1 figures

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• Reflection and Transmission Coefficients of the symmetric barrier-type shifted Deng-Fan potential
• Scattering states solutions of Klein-Gordon equation with three physically solvable potential models
• The scattering phase shifts of the Hulthén-type potential plus Yukawa potential
• The semi-relativistic scattering states of the two-body spinless Salpeter equation with the Varshni potential model