An investigation of the bound-state solutions of the Klein-Gordon equation for the generalized Woods-Saxon potential in spin symmetry and pseudo-spin symmetry limits

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LÜTFÜOĞLU B. C.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.133, sa.8, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 133 Sayı: 8
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1140/epjp/i2018-12114-y
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Recently, scattering of a Klein-Gordon particle in the presence of mixed scalar-vector generalized symmetric Woods-Saxon potential was investigated for the spin symmetric and the pseudo-spin symmetric limits in one spatial dimension. In this paper, the bound-state solutions of the Klein-Gordon equation with mixed scalar-vector generalized symmetric Woods-Saxon potential are examined analytically within the framework of spin and pseudo-spin symmetry limits. We prove that the occurrence of the bound-state energy spectrum exists only in the spin symmetric limit, while in the pseudo-spin symmetric limit, the bound-state spectrum does not exist. Besides the theoretical proof, the Newton-Raphson numerical methods are used to calculate the bound-state energy spectra of a neutral kaon particle, confined in a generalized symmetric Woods-Saxon potential, energy well constituted with repulsive or attractive surface interactions, for the spin and pseudo-spin symmetric limits, respectively. Numerical results are consistent with the non-existence of the bound-state energy spectrum in the pseudo-spin symmetric limit.