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

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.