THE APPROXIMATE ANALYTICAL SOLUTIONS OF THE KLEIN–GORDON EQUATION WITH THE SECOND PÖSCHL–TELLER LIKE POTENTIAL FOR NONZERO ANGULAR MOMENTUM

The approximate analytical bound and scattering state solutions of the arbitrary l-wave Klein–Gordon equation for the second Pöschl–Teller like potential are carried out by a new approximation to the centrifugal term. The analytical radial wave functions of the l-wave Klein–Gordon equation with the second Pöschl–Teller like potential are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is well shown that the poles of S-matrix in the complex energy plane correspond to bound states for real poles and scattering states for complex poles in the lower half of the energy plane. Some numerical results are calculated to show the improved accuracy of our results and the special case for s-wave is also studied briefly.