An approximate kappa state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
(Ikhdair, Sameer M.,)
Bibliographical information (record 266066)
An approximate kappa state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
- 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. (C) 2011 American Institute of Physics. [doi:10.1063/1.3583553]
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