Inelastic ν and [formula omitted] scattering on nuclei and “strangeness” of the nucleon

Abstract

Possibilities to extract information on the strange form factors of the nucleon from neutrino (anti-neutrino) inelastic scattering on nuclei, in an energy range from 200 MeV to 1 GeV and more, are investigated in detail. All calculations are performed within two relativistic independent particle models (Fermi gas and shell model); the final state interactions of the ejected nucleon are taken into account through relativistic optical model potentials. We have shown that the values of the cross sections significantly depend on the nuclear model (especially in the lower energy range). However, the NC/CC neutrino-anti-neutrino asymmetry in a medium-high energy range shows a rather small dependence on the model and allows to disentangle different values of the parameters that characterize the strange form factors. We have calculated also the ratio of the cross sections for inelastic NC scattering of neutrinos on nuclei, with the emission of a proton and of a neutron. Our calculations show that at high neutrino energy this ratio depends rather weakly on the nuclear model and confirm previous conclusions on the rather strong dependence of this ratio upon the axial strange form factors; however, at E ν ⩽ 200 MeV, the FSI are found to significantly affect the ratio.