Unitary content of the optical potential for an uncorrelated target

Abstract

The optical potential for an uncorrelated target is derived. Operator identities are used to obtain the partial cross sections to all reactive channels in this model. Using a set of approximations, the optical potential is written in first-order form. The partial cross sections to all channels implied by the first-order potential can be written as a generalization of the usual distorted wave impulse approximation. Under certain assumptions a sum rule is obtained. The high energy limit of our results are then examined by the use of Glauber's theory.