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2010 | 8 | 4 | 652-666
Tytuł artykułu

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

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Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Wydawca

Czasopismo
Rocznik
Tom
8
Numer
4
Strony
652-666
Opis fizyczny
Daty
wydano
2010-08-01
online
2010-05-22
Twórcy
  • Department of Physics, Middle East Technical University, 06800, Ankara, Turkey, sever@metu.edu.tr
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0118-5
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