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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina

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Volume 8, Issue 4

Issues

Volume 13 (2015)

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

Sameer Ikhdair / Ramazan Sever
Published Online: 2010-05-22 | DOI: https://doi.org/10.2478/s11534-009-0118-5

Abstract

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.

PACS: 03.65.Pm; 03.65.Ge; 03.65.-w; 03.65.Fd; 02.30.Gp

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

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About the article

Published Online: 2010-05-22

Published in Print: 2010-08-01


Citation Information: Open Physics, Volume 8, Issue 4, Pages 652–666, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-009-0118-5.

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