Calculating deuteron photodisintegration amplitudes using nonsingular scattering equations

We derive a momentum-space formulation of the deuteron photodisintegration in terms of nonsingular scattering integral equations. The two-body T matrix describing the nuclear final-state interactions enters only on shell, thus offering the possibility of determining it entirely in terms of experimental phase shifts. The formalism suggests a lowest-order approximation which goes beyond the usual plane-wave approximation and which contains the full information of the on-shell final-state interaction. Test calculations using the Reid soft-core potential are reported. It is found that the numerical solution of photodisintegration observables is greatly facilitated by the proposed formalism. Moreover, the lowest-order approximation is seen to be superior to the usual plane-wave approximation, providing good results even in those cases where the usual plane-wave approximation vanishes. Extensions to more complex few-nucleon systems are discussed