Corrected analytical solution of the generalized Woods-Saxon potential for arbitrary l states
PHYSICA SCRIPTA, cilt.90, sa.1, 2015 (SCI-Expanded, Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.