An Approximate k State Solutions of the Dirac Equation for the Generalized Morse Potential Under Spin and Pseudospin Symmetry
- Publication Type
- Original research
- Authors
- Sameer M. Ikhdair
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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}=\pm1 (l=l=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. Keywords: Dirac equation, spin symmetry, pseudospin symmetry, generalized Morse potential,
- Title
- JOURNAL OF MATHEMATICAL PHYSICS 52, 052303
- Publisher
- --
- Publisher Country
- Palestine
- Publication Type
- Both (Printed and Online)
- Volume
- --
- Year
- 2011
- Pages
- --