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

作者：Ikhdair Sameer M^*

来源：Journal of Mathematical Physics, 2011, 52(5): 052303.

DOI：10.1063/1.3583553

By using an improved approximation scheme to deal with the centrifugal (pseudo-centrifugal) term, we solve the Dirac equation for the generalized Morse potential with arbitrary spin-orbit quantum number kappa. In the presence of spin and pseudospin symmetry, the analytic bound state energy eigenvalues and the associated upper- and lower-spinor components of two Dirac particles are found by using the basic concepts of the Nikiforov-Uvarov method. We study the special cases when kappa = +/-1 (l = (l) over tilde = 0, s-wave), the non-relativistic limit and the limit when alpha becomes zero (Kratzer potential model). The present solutions are compared with those obtained by other methods.

• 出版日期2011-5