Effects of Density-Dependent Weak Form Factors and Final State Interaction for Neutrino-Nucleus Scattering in the Quasi-Elastic Region

Abstract

We study the effects of density-dependent weak vector form factors and final state interaction (FSI) on the 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 the neutrino-nucleus scattering via charged-current reaction. The densitydependent form factors reduce the differential cross section up to 40 (60) % at ρ = 1.0(2.0)ρ0 around the peak positions, where the normal density is ρ0 ∼ 0.15 fm−3. Three different descriptions of the FSI, which are a relativistic mean field, a complex optical potential, and its real potential, are taken into account. The effects of the FSI are studied not only on the differential cross sections but also on the asymmetry between neutrino and antineutrino scattering cross sections. We found that the FSI effects on the asymmetry turns out to be nearly independent of the FSI descriptions. Finally, our theoretical results are compared with the MiniBooNE data.