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

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Central European Journal of Physics

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.

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Authors and Affiliations

  1. Department of Physics, Near East University, Nicosia,Cyprus, Turkey

    Sameer M. Ikhdair

  2. Department of Physics, Middle East Technical University, 06800, Ankara, Turkey

    Ramazan Sever

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  1. Sameer M. Ikhdair
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  2. Ramazan Sever
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Correspondence to Ramazan Sever.

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Ikhdair, S.M., Sever, R. Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry. centr.eur.j.phys. 8, 652–666 (2010). https://doi.org/10.2478/s11534-009-0118-5

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  • DOI: https://doi.org/10.2478/s11534-009-0118-5

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