Approximately analytical solutions of the Manning–Rosen potential with the spin–orbit coupling term and spin symmetry

Abstract: In this Letter the approximately analytical bound state solutions of the Dirac equation with the Manning–Rosen potential for arbitrary spin–orbit coupling quantum number k are carried out by taking a properly approximate expansion for the spin–orbit coupling term. In the case of exact spin symmetry, the associated two-component spinor wave functions of the Dirac equation for arbitrary spin–orbit quantum number k are presented and the corresponding bound state energy equation is derived. We study briefly two special cases; the general s-wave problem and the equal scalar and vector Manning–Rosen potential. [Copyright &y& Elsevier]