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.

arXiv commentMajor revision (shortened). 22 pages, 18 figures

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Cited by in corpus (29)

• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
• Extensions of Superscaling from Relativistic Mean Field Theory: the SuSAv2 Model
• Inclusive electron scattering within the SuSAv2-MEC approach
• Meson-exchange currents and quasielastic predictions for charged-current neutrino-12C scattering in the superscaling approach
• Relativistic model of 2p-2h meson exchange currents in (anti)neutrino scattering
• Neutrino-nucleus cross section within the extended factorization scheme
• Electron- versus neutrino-nucleus scattering
• Neutrino event generators: foundation, status and future
• Inclusive Electron Scattering And The GENIE Neutrino Event Generator
• GENIE implementation of IFIC Valencia model for QE-like 2p2h neutrino-nucleus cross section
• Seagull and pion-in-flight currents in neutrino-induced $1N$ and $2N$ knockout
• Neutrino-Oxygen CC0$\pi$ scattering in the SuSAv2-MEC model
• Emission of neutron-proton and proton-proton pairs in neutrino scattering
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• A realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino cross sections on ${}^{12}$C
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• Electron and Muon production cross sections in quasielastic $\nu (\bar{\nu })$-Nucleus scattering for $E_{\nu }<1GeV$
• Meson-exchange currents and superscaling analysis with relativistic effective mass of quasielastic electron scattering from ${}^{12}$C
• The frozen nucleon approximation in two-particle two-hole response functions
• 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
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Emission of neutron-proton and proton-proton pairs in electron scattering induced by meson-exchange currents
• The SuSAv2 model for inelastic neutrino-nucleus scattering
• 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