An approximate {\kappa} state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry

摘要

By using an improved approximation scheme to deal with the centrifugal(pseudo-centrifugal) term, we solve the Dirac equation for the generalizedMorse potential with arbitrary spin-orbit quantum number {\kappa}. In thepresence of spin and pseudospin symmetry, the analytic bound state energyeigenvalues and the associated upper- and lower-spinor components of two Diracparticles are found by using the basic concepts of the Nikiforov-Uvarov method.We study the special cases when {\kappa}=\pm1 (l=l=0, s-wave), thenon-relativistic limit and the limit when {\alpha} becomes zero (Kratzerpotential model). The present solutions are compared with those obtained byother methods. Keywords: Dirac equation, spin symmetry, pseudospin symmetry,generalized Morse potential,