Analysis of deuteron + nucleus scattering data with a simplified resonating-group method

A simplified version of the microscopic resonating-group method, called model K, is used to analyze the data of deuteron scattering by a variety of target nuclei ranging from ²⁸Si to ²⁰⁸Pb. The results indicate that, by simply using the same parameter values as those found previously in model-K studies of N + nucleus scattering, a satisfactory agreement between calculation and experiment can already be obtained, especially for the differential scattering cross section. To create a connection between the nonlocal interaction of model K and the local interaction of phenomenological optical-model analyses, we have constructed a d + nucleus equivalent local potential by using the WKB procedure. An examination of the properties of this equivalent potential reveals that a proper consideration of anti-symmetrization alone can account for most of the energy dependence of the empirically determined internuclear local interaction. The knockon-exchange term, arising from antisymmetrization, is shown to make an appreciable contribution; at 40 MeV, for example, it contributes to around 35% of the total volume integral per nucleon pair of the equivalent local potential.