Journal
PHYSICA SCRIPTA
Volume 90, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0031-8949/90/1/015302
Keywords
Woods-Saxon potential; eigenvalues and eigenfunctions; analytical solution; Gamow code
Categories
Funding
- TUBITAK
- Akdeniz University
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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.
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