The Approximate Analytical Solutions of the Klein-Gordon Equation of The Deformed Woods-Saxon Potential

Within a Pekeris-type approximation to the centrifugal term, the approximate analytical bound and scattering state solutions of the arbitrary l-wave Klein-Gordon equation for the deformed Woods-Saxon potential were carried out by using hypergeometric function method. The analytical radial wave functions of the l-wave Klein-Gordon equation with the deformed Woods-Saxon potential are presented and the corresponding energy equation for bound states and phase shifts for scattering states were derived by studying analytical properties of scattering amplitude. And the special case for s-wave was also studied briefly.