The scattering phase parameters for short-range local potentials can be evaluated by using the phase function method (PFM), regarded as an efficient approach for computing scattering phase shifts for quantum mechanical problems, without solving the Schrödinger equation. We adapt PFM to deal with the Hulthén-distorted separable non-local potentials and derive a closed form expression for the phase function with rigorous inclusion of electromagnetic effect. We demonstrate the usefulness of our constructed expression by calculating elastic scattering phase parameters for proton–deuteron (p–d) system which agree quite well with the previous results.

We present all the partial wave descriptions of the nucleon–nucleus system by proposing a new additive phenomenological potential with emphasis on off-energy-shell scattering. For most of the general treatment of the physical processes, the off-shell transition matrices are most expedient quantities because they carry as much information as the potential. As the off-shell Jost solution is an indispensable ingredient for deriving transition matrices, we initially construct this function by taking into account the ordinary differential equation method. Finally,we execute certain tests on our expressions with respect to various limiting conditions and present numerical results using the $MATLAB$ programme. Numerical results are in sensible conformity with the previous works.