Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States
Nuclear Theory
2015-01-14 v1 Quantum Physics
Abstract
The bound state solution of the radial Schr\"{o}dinger equation with the generalized Woods-Saxon potential is carefully examined by using the Pekeris approximation for arbitrary states. The energy eigenvalues and the corresponding eigenfunctions are analytically obtained for different and quantum numbers. The obtained closed forms are applied to calculate the single particle energy levels of neutron orbiting around Fe nucleus in order to check consistency between the analytical and Gamow code results. The analytical results are in good agreement with the results obtained by Gamow code for .
Keywords
Cite
@article{arxiv.1501.02948,
title = {Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States},
author = {O. Bayrak and E. Aciksoz},
journal= {arXiv preprint arXiv:1501.02948},
year = {2015}
}