The Manning-Rosen potential studied by a new approximate scheme to the centrifugal term

We present a new approximate scheme to the centrifugal term and then apply this new approach to solve the Schrödinger equation with the Manning-Rosen potential. The bound state energy levels are obtained. A closed form of normalization constant of the wavefunctions is also found. It is shown that the present results are much better than those obtained previously and are in good agreement with the accurate numerical results obtained by a MATHEMATICA package.