We calculate the Coulomb sum rule of inclusive $(e,e^{\prime })$ reactions from ${}^{12}\mathrm{C}, {}^{40}\mathrm{Ca}, {}^{56}\mathrm{Fe}$, and ${}^{208}\mathrm{Pb}$ 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 $\mathrm{MeV}/c$. 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 $q>400 \mathrm{MeV}/c$, the values of the Coulomb sum rule from various nuclear models except the Hartree model are greater than 1.

• Received 12 August 2021
• Revised 24 October 2021
• Accepted 20 December 2021

DOI:https://doi.org/10.1103/PhysRevC.105.024606