Two-nucleon emission in neutrino and electron scattering from nuclei: the modified convolution approximation

Abstract

The theoretical formalism of inclusive lepton-nucleus scattering in the two-nucleon emission channel is discussed in the context of a simplified approach, the modified convolution approximation. This allows one to write the 2p2h responses of the relativistic Fermi gas as a folding integral of two 1p1h responses with the energies and momenta transferred to each nucleon. The idea behind this method is to introduce different average momenta for the two initial nucleons in the matrix elements of the two-body current, with the innovation that they depend on the transferred energies and momenta. This method treats exactly the two-body phase space kinematics, and reduces the formulae of the response functions from seven-dimensional integrals over momenta to much simpler three-dimensional ones. The applicability of the method is checked by comparing with the full results within a model of electroweak meson-exchange currents. The predictions are accurate enough, especially in the low-energy threshold region where the average momentum approximation works the best.

35 pages, 13 figures

References in corpus (8)

• Probing Cold Dense Nuclear Matter
• Momentum sharing in imbalanced Fermi systems
• Weak Pion Production off the Nucleon
• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
• Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model
• The detection of back-to-back proton pairs in Charged-Current neutrino interactions with the ArgoNeuT detector in the NuMI low energy beam line
• Relativistic effects in two-particle emission for electron and neutrino reactions
• Angular distribution in two-particle emission induced by neutrinos and electrons

Cited by in corpus (5)

• Semiempirical formula for electroweak response functions in the two-nucleon emission channel in neutrino-nucleus scattering
• Multinucleon excitations in neutrino-nucleus scattering: connecting different microscopic models for the correlations
• Neutrino-Nucleus scattering in the SuSA model
• Nuclear dependence of the 2p2h electroweak response in the Relativistic Fermi Gas model
• First Measurement of Differential Cross Sections for Muon Neutrino Charged Current Interactions on Argon with a Two-proton Final State in the MicroBooNE Detector