Multiple Scattering Phase Shifts and Nuclear Potential

The relation between the self-energy of a sourse-particle and the phase shifts of field quanta scattered by the source was discussed by Sawada. The analogous considerations are extended to the case of two source-nucleons, interacing with the scalar pair mesons. In this case the scattering problem can be exactly solved in the adiabatic limit. We can evaluate the sum of the phase shifts from the S-matrix and show the self-energy of the two-nucleon system thus obtained to be equal to the sum of twice the single nucleon self-energy and the nuclear potential, the latter being just identical with that deduced by Wentzel.