Corrected analytical solution of the generalized Woods-Saxon potential for arbitrary l states

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BAYRAK O., Aciksoz E.

PHYSICA SCRIPTA, cilt.90, sa.1, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 90 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1088/0031-8949/90/1/015302
  • Dergi Adı: PHYSICA SCRIPTA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Woods-Saxon potential, eigenvalues and eigenfunctions, analytical solution, Gamow code, KLEIN-GORDON EQUATION, NIKIFOROV-UVAROV METHOD, DIRAC-EQUATION, SCHRODINGER-EQUATION, PSEUDOSPIN SYMMETRY, WAVE-FUNCTIONS, BOUND-STATES, SPIN, SCATTERING
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The bound state solution of the radial Schrodinger equation with the generalized Woods-Saxon potential is carefully examined using the Pekeris approximation for arbitrary l states. The energy eigenvalues and the corresponding eigenfunctions are analytically obtained for different n and l quantum numbers. The closed forms obtained are applied to calculate the single particle energy levels of a neutron orbiting around Fe-56 nucleus in order to check the consistency between the analytical and the Gamow code results. The analytical results are in good agreement with the results obtained using Gamow code for l = 0.