Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term

We give the approximate analytic solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term. In the framework of the spin and pseudospin symmetry concept, we obtain the analytic bound state energy spectra and the corresponding two-component upper and lower spinors of the two Dirac particles, in closed form, by means of the Nikiforov-Uvarov method. The special cases of the s-wave kappa = +/-1 (l = (l) over tilde = 0) Rosen-Morse potential, the Eckart-type potential, the PT-symmetric Rosen-Morse potential, and the nonrelativistic limits are briefly studied. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3293759]