Approximate ℓ-state solutions of a spin-0 particle for Woods-Saxon potential

The radial part of KleinGordon equation is solved for the WoodsSaxon potential within the framework of an approximation to the centrifugal barrier. The bound states and the corresponding normalized eigenfunctions of the WoodsSaxon potential are computed by using the NikiforovUvarov method. The results are consistent with the ones obtained in the case of generalized WoodsSaxon potential. The solutions of the Schrödinger equation by using the same approximation are also studied as a special case, and obtained the consistent results with the ones obtained before.