Calculation of Deuteron Stripping Amplitudes Using S -Matrix Reduction Techniques

The transition matrix for deuteron stripping is calculated by use of the Lehmann, Symanzik, and Zimmerman technique for S-matrix reduction. The interaction is assumed to occur via two-body iocal potentials and all terms are retained in order to give insight into the difference between direct and indirect interactions. In the direct interaction approximation, it is shown that the stripping amplitude can be expressed in terms of a source term and the phase shifts for elastic scattering of deuterons and nucleons incident, respectively, on the initial and final nuclei. The source term includes the usual Born approximation as well as other terms arising from the identity of nucleons. (auth)