Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling

Abstract EN

We study approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential and a Coulomb-like tensor potential for arbitrary spin-orbit quantum number κ under the presence of exact spin and pseudospin (p-spin) symmetries.

The bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle are obtained using the parametric generalization of the Nikiforov-Uvarov (NU) method.

We show that tensor interaction removes degeneracies between spin and pseudospin doublets.

The case of nonrelativistic limit is studied too.