Effect of Density-Dependent Form Factors on Coulomb Sum Rule in the Quasi-Elastic Region

Abstract

Within the framework of a relativistic single particle model, we study the effects of density-dependent electromagnetic form factors on the inclusive (e, e') reaction in the quasi-elastic region. The density-dependent form factors generated by a quark-meson coupling model are applied into the (e, e') reaction. We calculate the differential cross sections, and extract the longitudinal and transverse structure functions. Furthermore the Coulomb sum is calculated in terms of three momentum transfer from Ca-40. The effects of the density-dependent form factors reduce the longitudinal structure function by amount of a few percent but increase the transverse structure function about 10%, consequently the (e, e') differential cross sections are enhanced.