Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry

• Authors: Sameer Ikhdair , Ramazan Sever
• Languages of publication: EN

Abstracts

EN

We study the approximate analytical solutions of the Dirac equation for the generalized Woods-Saxon potential with the pseudo-centrifugal term. We apply the Nikiforov-Uvarov method (which solves a second-order linear differential equation by reducing it to a generalized hypergeometric form) to spin- and pseudospin-symmetry to obtain, in closed form, the approximately analytical bound state energy eigenvalues and the corresponding upper- and lower-spinor components of two Dirac particles. The special cases κ = ±1 (s = $$
\tilde l
$$ = 0, s-wave) and the non-relativistic limit can be reached easily and directly for the generalized and standard Woods-Saxon potentials. We compare the non-relativistic results with those obtained by others.

Keywords

EN

Dirac equation; spin symmetry; pseudospin symmetry; Woods-Saxon potential; Nikiforov-Uvarov method

Discipline

• 03.65.Pm: Relativistic wave equations
• 03.65.Ge: Solutions of wave equations: bound states
• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 03.65.Fd: Algebraic methods(see also 02.20.-a Group theory)
• 02.30.Gp: Special functions

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 4
• Pages: 652-666

Dates

published

1 - 8 - 2010

online

22 - 5 - 2010

Contributors

author

Sameer Ikhdair

• Department of Physics, Near East University, Nicosia,Cyprus, Turkey

author

Ramazan Sever

• Department of Physics, Middle East Technical University, 06800, Ankara, Turkey

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Identifiers

DOI

10.2478/s11534-009-0118-5