Coulomb sum rule in the quasielastic region using various nuclear models

Abstract

We calculate the Coulomb sum rule of inclusive (e, e') reactions from C-12, Ca-40, Fe-56, and Pb-208 in the quasielastic region using various relativistic single-particle models, which include the relativistic Hartree, the nonlinear sigma, the quark-meson-coupling, and the chiral quark-meson-coupling models. We investigate the cross sections calculated in these nuclear models by comparing them with Bates, Saclay, and SLAC data for three-momentum transfer q ranging from 300 to 500 MeV/c. We find that the extracted longitudinal structure functions are not so sensitive to the nuclear model but the transverse structure functions strongly depend on the model. We report that, for three-momentum transfer q > 400 MeV/c, the values of the Coulomb sum rule from various nuclear models except the Hartree model are greater than 1.