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The knowledge on the scattering states and related parameters such as the phase shift, transmission and re ection coe cients is a primary step in many physical studies including the nuclear and particle physics in both non-relativistic and relativistic quantum mechanics. A very challenging step in such cases is the centrifugal term which does not allow for an exact analytical solution in most cases. During the past years, various techniques have been proposed and applied to deal with such problems [1 10] and a variety of interactions, including Hulthen [11], Poschl Teller [12] and Woods Saxon [13] potentials have been studied. To provide a general solution for exponential potentials without having to deal with the cumbersome and rather vague numerical procedure is making use of an exponential approximation to the inverse square centrifugal term. Here, we consider the scattering states of the two-body spinless-Salpeter equation (SSE) under the Hulthen potential and an exponential-type potential which possesses interesting physical nature. These potentials have been successfully applied to nuclear, particles, atomic, condensed matter, and chemical physics [14 16]. 2. Scattering states of the arbitrary l-wave spinless-Salpeter equation

The Semi-Relativistic Scattering States of the Hulthén and Hyperbolic-Type Potentials