Solutions of the Dirac Equation for the Quadratic ExponentialManning-Rosen Potential plus Yukawa Potential within theYukawalike Tensor Interaction using the Framework of Nikiforov-Uvarov Formalism

Abstract

Here, we solve the Dirac equation for the quadratic exponential-type potential
plus Manning-Rosen potential including a Yukawa-like tensor potential with arbitrary spinorbit coupling quantum number κ. In the framework of the spin and pseudo-spin (pspin)
symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions
in closed form by using the Nikiforov–Uvarov method. Also, special cases of the potential
have been considered and their energy eigenvalues as well as their corresponding
eigenfunctions were obtained for both relativistic and non-relativistic scope.

Keywords: Dirac equation, Quadratic exponential-type potential, Manning-Rosen
potential, Spin and pseudospin symmetry, Nikiforov-Uvarov method.