Effects of density-dependent weak form factors on charged-current neutrino-nucleus scattering in the quasi-elastic region

Abstract

We study the effects of density-dependent electromagnetic, axial, and weak vector form factors on the inclusive (e, e') 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') reaction and the neutrino-nucleus scattering via charged current. The effects of the density-dependent form factors increase the (e, e') 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) (2.0 rho(0)) for the antineutrino scattering and also reduce the cross section up to 20% (30%) at rho = 1.0 rho(0) (2.0 rho(0)) for the neutrino scattering around the peak positions, where the normal density is rho(0) similar to 0.15 fm(-3). For the density of finite nuclei such as C-12, Ca-40, and Pb-208 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 C-12(nu(mu),mu(-)) scattering.