The traditional phase function method is regarded as a
resourceful tool for computing scattering phase shifts for quantum
mechanical potential scattering involving local interactions. For the local
plus a nonlocal potential the conventional phase function method does
not hold good. In such a situation one has to modify it. The modi ed
phase function method is adapted here to treat the Manning-Rosen plus
Graz nonlocal separable potential for constructing an exact expression for
the phase function with rigorous inclusion of the electromagnetic e ect.
The merit of our analytical result is demonstrated by computing elastic
scattering phase parameters and differential scattering cross sections for
proton-proton (p- p) and proton-deuteron (p-d) systems which are in
sensible agreement with previous works.