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

Journal Article · Sun May 15 00:00:00 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, Vol. 52, Issue 5; Other Information: DOI: 10.1063/1.3583553; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

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