We study the effects of density-dependent electromagnetic, axial, and weak vector form factors on the inclusive $(e,e^{\prime })$ reaction and the charged-current neutrino-nucleus scattering in the quasi-elastic region within the framework of a relativistic single-particle model. The density-dependent form factors obtained from a quark-meson coupling model are applied into the $(e,e^{\prime })$ reaction and the neutrino-nucleus scattering via charged current. The effects of the density-dependent form factors increase the $(e,e^{\prime })$ cross sections by a few percent. However, the effects may reduce the differential cross sections up to 20% (60%) at $\rho =1.0{\rho }_0\left(2.0{\rho }_0\right)$ for the antineutrino scattering and also reduce the cross section up to 20% (30%) at $\rho =1.0{\rho }_0\left(2.0{\rho }_0\right)$ for the neutrino scattering around the peak positions, where the normal density is ${\rho }_0\sim 0.15$ ${\mathrm{fm}}^{-3}$. For the density of finite nuclei such as ${}^{12}\mathrm{C}$, ${}^{40}\mathrm{Ca}$, and ${}^{208}\mathrm{Pb}$ as 0.6, 0.7, and 1.0 of ${\rho }_0$, the in-medium effects are 20% to 30%, even in the antineutrino case. Our theoretical double-differential and total cross sections are compared with the recent MiniBooNE data for ${}^{12}\mathrm{C}({\nu }_{\mu },{\mu }^{-})$ scattering.

• Received 10 June 2013
• Revised 18 June 2014

DOI:https://doi.org/10.1103/PhysRevC.90.017601