Emission of neutron-proton and proton-proton pairs in neutrino scattering

Abstract

We use a recently developed model of relativistic meson-exchange currents to compute the neutron-proton and proton-proton yields in $({\nu }_{\mu },{\mu }^{-})$ scattering from ${}^{12}$C in the 2p-2h channel. We compute the response functions and cross sections with the relativistic Fermi gas model for different kinematics from intermediate to high momentum transfers. We find a large contribution of neutron-proton configurations in the initial state, as compared to proton-proton pairs. In the case of charge-changing neutrino scattering the 2p-2h cross section of proton-proton emission ({\it i.e.,} np in the initial state) is much larger than for neutron-proton emission ({\it i.e.,} two neutrons in the initial state) by a $(\omega ,q)$-dependent factor. The different emission probabilities of distinct species of nucleon pairs are produced in our model only by meson-exchange currents, mainly by the $\Delta$ isobar current. We also analyze other effects including exchange contributions and the effect of the axial and vector currents.

9 pages and 8 figures

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• A substandard candle: the low-$\nu$ method at few-GeV neutrino energies
• Semi-inclusive two-nucleon emission in (anti) neutrino CC scattering within the relativistic mean field framework
• Multinucleon excitations in neutrino-nucleus scattering: connecting different microscopic models for the correlations
• A New Generation of Neutrino Cross Section Experiments: Challenges and Opportunities