Shape-Invariant Approach to Study Relativistic Symmetries of the Dirac Equation with a New Hyperbolical Potential Combination

Abstract

Spin and pseudospin symmetries of the Dirac equation are investigated for a novel interaction term, i. e. the combination of Tietz plus a hyperbolical (Schiöberg) potential besides a Coulomb tensor interaction. This choice of interaction yields many of our significant terms in its special cases. After applying a proper hyperbolical term, we find the corresponding superpotential and thereby construct the partner Hamiltonians which satisfy the shape-invariant condition via a translational mapping. We report the spectrum of the system and comment on the impact of various terms engaged.