Relativistic symmetries in the Hulth\'en scalar-vector-tensor interactions

Abstract

In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulth\'en potentials are obtained with any arbitrary spin-orbit coupling number using the Pekeris approximation. The Hulth\'en tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. We show that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.