Approximate κ-state solutions to the Dirac Mobius square – Yukawa and Mobius square – quasi Yukawa problems under pseudospin and spin symmetry limits with Coulomb-like tensor interaction

Abstract

In this paper, we present the Dirac equation for the Mobius square – Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin–orbit quantum number, κ. We obtain the energy eigenvalues and the corresponding wave functions using the supersymmetry method. The limiting cases of the problem, which reduce to the Deng-Fan, Yukawa, and Coulomb potentials, are discussed.