Two-Body Scattering Phase Shifts for the Spinless Salpeter Equation with the Hellman Potential Model

The scattering state solutions of the Spinless Salpeter equation with the Hellman potential model were studied. The asymptotic wave function, normalization constant, scattering phase shift and bound state energy equation, were obtained. The effects of Coulomb potential strength, equal and unequal masses on scattering phase shifts were reported. It was obvious that the results of unequal masses case seems to be stronger than the behaviour of equal mass case for the semi-relativistic scattering phase shift.