A. Suparmi, C. Cari, U.A. Deta
The bound state solutions of Dirac equations for a trigonometric Scarf potential with a new tensor potential under spin and pseudospin symmetry limits are investigated using Romanovski polynomials. The proposed new tensor potential is inspired by superpotential form in supersymmetric (SUSY) quantum mechanics. The Dirac equations with trigonometric Scarf potential coupled by a new tensor potential for the pseudospin and spin symmetries reduce to Schrödinger-type equations with a shape invariant potential since the proposed new tensor potential is similar to the superpotential of trigonometric Scarf potential. The relativistic wave functions are exactly obtained in terms of Romanovski polynomials and the relativistic energy equations are also exactly obtained in the approximation scheme of centrifugal term. The new tensor potential removes the degeneracies both for pseudospin and spin symmetries. © 2014 Chinese Physical Society and IOP Publishing Ltd.
Physics Department, Faculty of Mathematics and Natural Science, Sebelas Maret University, Indonesia; Department of Physics, Faculty of Mathematics and Natural Science, State University of Surabaya, Indonesia
