Many-Body Correlation Effects on the Longitudinal Response in the Quasielastic (e, e') Reaction

A study is made of the influence of many-body corrections on the longitudinal response function for the inclusive quasielastic (e, e') reaction. This response function is well known to be suppressed, by about a factor of two, when compared with theoretical predictions based on the concept of single nucleon ejection. This is a characteristic of the data that persists through a wide range of different nuclei and suggests a violation of the Coulomb sum rule. It is here shown how an estimation of the effect of many-body correlations, including a consistent treatment of inelastic final state interactions, can be computed through a relationship to the nuclear optical model. The approximations are such that the Coulomb sum rule in guaranteed to remain satisfied providing the optical potential is hermitian analytic. Calculations of the longitudinal response are carried out within the Fermi Gas Model using phenomenological parameterizations of the nuclear optical potential. The reductions