  Recently, the Asymptotic Iteration Method (AIM) was used to calculate the
energy spectrum for a short rang three parameter central potential which was
introduced by H. Bahlouli and A. D. Alhaidari. The S-orbital wave solution of
the Schr\"odinger equation was obtained for different parameters of the
potential. In this work a non-zero angular momentum term were introduced to the
problem and the energy eigenvalues were obtained for different potential
parameters. Our results show very good agreements compared with other methods
such as potential parameter spectrum method (PPSM) and the complex scaling
method (CSM).
