Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry

Abstract

By employing an improved new approximation scheme to deal with the centrifugal term and the pseudo-centrifugal term, we solve approximately the Dirac equation with the generalized Morse potential model for the arbitrary spin–orbit quantum number κ. Under the condition of the spin and pseudospin symmetry, the bound state energy eigenvalues and the associated two-component spinors of the Dirac particle are obtained approximately by using the basic concept of the supersymmetric shape invariance formalism and the function analysis method.