Antisymmetry in elastic nucleon-nucleus scattering

A formal approach to the problem of the definition and development of a multiple scattering expansion for the non-relativistic optical potential under the constraint of full antisymmetry has been studied. Particular attention has been directed towards obtaining a realistic and practical form for the Pauli modification of a first-order optical potential mechanism without adopting the infinite nuclear matter assumption. In this case the Pauli modifications are of two types: (1) propagator modifications for the intermediate states in the summed ladder diagrams forming the effective NN collision operator, and (2) initial and final channel state modifications that arise from the non-orthogonality of plane wave continuum states and the single particle states of a finite nucleus. This second effect is often omitted in prescriptions for first-order optical potentials that are abstracted from bound state perturbation theory of infinite nuclear matter