Single particle analysis of (<i>e</i>,<i>e</i>’) and the value of separated structure functions

Abstract

We report a calculation of inclusive electron scattering from $^{40}\mathrm{Ca}$ in the quasielastic region where we use relativistic Hartree bound-state wave functions for the nucleons and use the same real potential for the final-state interaction which guarantees orthogonality of initial and final states, current conservation, and, hence, gauge invariance. This potential gives quite good agreement with the measured cross sections, especially for energy transfer above the quasielastic peak approaching the dip region; however, it still does not successfully reproduce the experimentally separated longitudinal and transverse structure functions. We use this simple model which gives a reasonable fit to the cross-section data to discuss possible problems involved in the experimental separation procedure, which might distort the extraction of the longitudinal structure function.