Semiempirical formula for electroweak response functions in the two-nucleon emission channel in neutrino-nucleus scattering

Abstract

A semi-empirical formula for the electroweak response functions in the two-nucleon emission channel is proposed. The method consists in expanding each one of the vector-vector, axial-axial and vector-axial responses as sums of six sub-responses. These corresponds to separating the meson-exchange currents as the sum of three currents of similar structure, and expanding the hadronic tensor, as the sum of the separate contributions from each current plus the interferences between them. For each sub-response we factorize the coupling constants, the electroweak form factors, the phase space and the delta propagator, for the delta forward current. The remaining spin-isospin contributions are encoded in coefficients for each value of the momentum transfer, $q$. The coefficients are fitted to the exact results in the relativistic mean field model of nuclear matter, for each value of $q$. The dependence on the energy transfer, $\omega$ is well described by the semi-empirical formula. The $q$-dependency of the coefficients of the sub-responses can be parameterized or can be interpolated from the provided tables. The description of the five theoretical responses is quite good. The parameters of the formula, the Fermi momentum, number of particles relativistic effective mass, vector energy the electroweak form factors and the coupling constants, can be modified easily. This semi-empirical formula can be applied to the cross-section of neutrinos, antineutrinos and electrons.

arXiv commentRevised version with 32 pages, 11 figures

References in corpus (55)

• From eV to EeV: Neutrino Cross Sections Across Energy Scales
• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• Inclusive Charged--Current Neutrino--Nucleus Reactions
• A unified approach for nucleon knock-out, coherent and incoherent pion production in neutrino interactions with nuclei
• The nucleon axial mass and the MiniBooNE Quasielastic Neutrino-Nucleus Scattering problem
• Neutrino-nucleus quasi-elastic and 2p2h interactions up to 10 GeV
• Inclusive quasi-elastic electron-nucleus scattering
• A study of quasi-elastic muon neutrino and antineutrino scattering in the NOMAD experiment
• Neutrino and antineutrino quasielastic interactions with nuclei
• Weak Pion Production off the Nucleon
• First Measurement of the Muon Anti-Neutrino Double-Differential Charged Current Quasi-Elastic Cross Section
• Progress and open questions in the physics of neutrino cross sections
• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
• Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model
• Measurement of double-differential muon neutrino charged-current interactions on C${}_8$H${}_8$ without pions in the final state using the T2K off-axis beam
• Electromagnetic response of 12C: a first-principles calculation
• Neutrino Interactions with Nucleons and Nuclei: Importance for Long-Baseline Experiments
• Improving the accuracy of neutrino energy reconstruction in charged-current quasielastic scattering off nuclear targets
• Measurement of the Inclusive NuMu Charged Current Cross Section on Carbon in the Near Detector of the T2K Experiment
• Meson-exchange currents and quasielastic antineutrino cross sections in the SuperScaling Approximation
• Low-energy excitations and quasielastic contribution to electron-nucleus and neutrino-nucleus scattering in the continuum random phase approximation
• Two Particle-Hole Excitations in Charged Current Quasielastic Antineutrino--Nucleus Scattering
• Neutrino-Induced Reactions on Nuclei
• Quaiselastic scattering from relativistic bound nucleons: Transverse-Longitudinal response
• Unified description of electron-nucleus scattering within the spectral function formalism
• Meson-exchange currents and quasielastic predictions for charged-current neutrino-12C scattering in the superscaling approach
• Relativistic y-scaling and the Coulomb sum rule in nuclei
• Relativistic model of 2p-2h meson exchange currents in (anti)neutrino scattering
• Many-Body Interactions of Neutrinos with Nuclei - Observables
• Implementation of the SuSAv2-MEC 1p1h and 2p2h models in GENIE and analysis of nuclear effects in T2K measurements
• Gauge and Lorentz invariant one-pion exchange currents in electron scattering from a relativistic Fermi gas
• Semi-relativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model
• Electron-neutrino scattering off nuclei from two different theoretical perspectives
• Neutrino-nucleus interactions and the determination of oscillation parameters
• Scaling and isospin effects in quasielastic lepton-nucleus scattering in the Relativistic Mean Field Approach
• Influence of short-range correlations in neutrino-nucleus scattering
• Impact of low-energy nuclear excitations on neutrino-nucleus scattering at MiniBooNE and T2K kinematics
• Electron- versus neutrino-nucleus scattering
• Systematic uncertainties in long-baseline neutrino-oscillation experiments
• Pionic correlations and meson-exchange currents in two-particle emission induced by electron scattering
• Relativistic effects in two-particle emission for electron and neutrino reactions
• First measurement of the ${\nu }_{\mu }$ charged-current cross section without pions in the final state on a water target
• Delta Excitations in Neutrino-Nucleus Scattering
• Nuclear effects in neutrino and antineutrino CCQE scattering at MINERvA kinematics
• Effective Spectral Function for Quasielastic Scattering on Nuclei
• Exclusive final state hadron observables from neutrino-nucleus multi-nucleon knockout
• 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
• Quasielastic charged-current neutrino scattering in the scaling model with relativistic effective mass
• Accuracy of the lepton-nucleus scattering models in the quasielastic region
• Fermi-momentum dependence of relativistic effective mass below saturation from superscaling of quasielastic electron scattering
• The frozen nucleon approximation in two-particle two-hole response functions
• Superscaling analysis of quasielastic electron scattering with relativistic effective mass
• Two-nucleon emission in neutrino and electron scattering from nuclei: the modified convolution approximation
• Charged-current quasielastic scattering of muon antineutrino and neutrino in the MINERvA experiment

Cited by in corpus (12)

• Electron Scattering and Neutrino Physics
• Charged-current quasielastic neutrino scattering from ${}^{12}$C in an extended superscaling model with two-nucleon emission
• Meson-exchange currents in quasielastic electron scattering in a generalized superscaling approach
• Semi-inclusive two-nucleon emission in (anti) neutrino CC scattering within the relativistic mean field framework
• Superscaling analysis of inclusive electron and (anti)neutrino scattering within the coherent density fluctuation model
• Improved Superscaling in Quasielastic Electron Scattering with Relativistic Effective Mass
• Exploring semi-inclusive two-nucleon emission in neutrino scattering: a factorized approximation approach
• Improved superscaling description of electron and charged-current neutrino quasielastic scattering using effective mass dynamics
• Inclusive Neutrino and Antineutrino Scattering on the ${}^{12}$C Nucleus Within the Coherent Density Fluctuation Model
• Charged-current quasielastic-like neutrino scattering from ${}^{12}$C in the coherent density fluctuation model with two-nucleon emission
• Exclusive Hadron Observables in Neutrino Induced $2p2h$ Multinucleon Knockout
• Scaling Properties of Two-Particle-Two-Hole Responses in Asymmetric Nuclei for Neutrino Scattering within the Relativistic Mean-Field Framework