Analytical approximations to the l-wave solutions of the Klein–Gordon equation for a second Pöschl–Teller like potential

We present analytical solutions of the Klein–Gordon equation for the second Pöschl–Teller like potential within the framework of an approximation to the centrifugal potential for any l state. The explicit expressions of bound state spectra and normalized eigenfunctions are obtained. We also numerically solved the Klein–Gordon equation without any approximation to centrifugal term for the same potential and compared numerical energy levels with approximately analytical results. It is found that the results are in good agreement with those obtained by other method for short-range potential.