Relativistic effects in two-particle emission for electron and neutrino reactions

Abstract

Two-particle two-hole contributions to electroweak response functions are computed in a fully relativistic Fermi gas, assuming that the electroweak current matrix elements are independent of the kinematics. We analyze the genuine kinematical and relativistic effects before including a realistic meson-exchange current (MEC) operator. This allows one to study the mathematical properties of the non-trivial seven-dimensional integrals appearing in the calculation and to design an optimal numerical procedure to reduce the computation time. This is required for practical applications to CC neutrino scattering experiments, where an additional integral over the neutrino flux is performed. Finally we examine the viability of this model to compute the electroweak 2p-2h response functions.

Major revision (shortened). 22 pages, 18 figures

References in corpus (3)

• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model
• Inclusive neutrino scattering off deuteron from threshold to GeV energies

Cited by in corpus (15)

• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
• Extensions of Superscaling from Relativistic Mean Field Theory: the SuSAv2 Model
• Meson-exchange currents and quasielastic predictions for charged-current neutrino-12C scattering in the superscaling approach
• Emission of neutron-proton and proton-proton pairs in neutrino scattering
• A realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino cross sections on ${}^{12}$C
• Angular distribution in two-particle emission induced by neutrinos and electrons
• Meson-exchange currents and superscaling analysis with relativistic effective mass of quasielastic electron scattering from ${}^{12}$C
• Semiempirical formula for electroweak response functions in the two-nucleon emission channel in neutrino-nucleus scattering
• Two-nucleon emission in neutrino and electron scattering from nuclei: the modified convolution approximation
• The SuSAv2 model for inelastic neutrino-nucleus scattering
• Emission of neutron-proton and proton-proton pairs in electron scattering induced by meson-exchange currents
• Superscaling analysis of inclusive electron and (anti)neutrino scattering within the coherent density fluctuation model
• Multinucleon excitations in neutrino-nucleus scattering: connecting different microscopic models for the correlations
• Neutrino-Nucleus scattering in the SuSA model
• 2p-2h excitations in neutrino scattering: angular distribution and frozen approximation