Semi-relativistic two-body phase shifts and partial-wave transitions for the Hellmann potential

For the Hellmann potential, the semi-relativistic two-body scattering phase shifts and partial-waves transitions were obtained as a function of angular momentum number l. The wave functions and the corresponding bound state energy equation were obtained also. The effects of mass combination on the scattering phase shifts and partial-wave transitions were observed. The two-body effects appear as monotonic shift of phases of the partial-waves. The shifts are more pronounced for lower partial-waves.