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arXiv · 1501.02948

Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States

O. Bayrak·E. Aciksoz
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Abstract

The bound state solution of the radial Schrödinger equation with the generalized Woods-Saxon potential is carefully examined by using the Pekeris approximation for arbitrary $\ell$ states. The energy eigenvalues and the corresponding eigenfunctions are analytically obtained for different $n$ and $\ell$ quantum numbers. The obtained closed forms are applied to calculate the single particle energy levels of neutron orbiting around $^{56}$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 $\ell=0$.

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O. Bayrak, E. Aciksoz. 2015-01-13. Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States. https://doi.org/10.1088/0031-8949%2F90%2F1%2F015302

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