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

Journal Article · Sun May 15 04:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3583553· OSTI ID:21501332

Ikhdair, Sameer M ^[1]

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1. Physics Department, Near East University, Nicosia, N. Cyprus (Turkey)

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-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.

• OSTI ID: 21501332
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 52; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
APPROXIMATIONS
BOUND STATE
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIGENFUNCTIONS
EIGENVALUES
ENERGY RANGE
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
MATHEMATICAL SOLUTIONS
MORSE POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
PARTIAL WAVES
POTENTIALS
RELATIVISTIC RANGE
S WAVES
SYMMETRY
WAVE EQUATIONS