Abstract

A system of equations for the description of nuclear reactions is derived in which rigorous account is taken of the effects of the recoil of the target nucleus, the presence of hard cores in the two-body interactions, and the Pauli exclusion principle. The elastic and inelastic scattering processes are described in terms of “equivalent potentials.” The relation between the equivalent potential in the elastic channel and the optical model potential is established. A self-consistent scheme for the approximate calculation of the phenomenological optical model potential is proposed.

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