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.

arXiv comment35 pages, 13 figures

References in corpus (41)

• Probing Cold Dense Nuclear Matter
• Inclusive Charged--Current Neutrino--Nucleus Reactions
• A unified approach for nucleon knock-out, coherent and incoherent pion production in neutrino interactions with nuclei
• Momentum sharing in imbalanced Fermi systems
• Inclusive Quasi-Elastic Charged-Current Neutrino-Nucleus Reactions
• The nucleon axial mass and the MiniBooNE Quasielastic Neutrino-Nucleus Scattering problem
• Neutrino-nucleus quasi-elastic and 2p2h interactions up to 10 GeV
• Neutrino and antineutrino quasielastic interactions with nuclei
• Weak Pion Production off the Nucleon
• Investigation of Proton-Proton Short-Range Correlations via the 12C(e,e'pp) Reaction
• Using Electron Scattering Superscaling to predict Charge-changing Neutrino Cross Sections in Nuclei
• Many Body approach to the inclusive $(e,e^{\prime })$ reaction from the quasielastic to the $\Delta$ excitation region
• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
• Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model
• Neutrino Interactions with Nucleons and Nuclei: Importance for Long-Baseline Experiments
• The 2p-2h electromagnetic response in the quasielastic peak and beyond
• Meson-exchange currents and quasielastic antineutrino cross sections in the SuperScaling Approximation
• Inclusive electron scattering within the SuSAv2-MEC approach
• Neutrino-Induced Reactions on Nuclei
• Relativistic model of 2p-2h meson exchange currents in (anti)neutrino scattering
• The detection of back-to-back proton pairs in Charged-Current neutrino interactions with the ArgoNeuT detector in the NuMI low energy beam line
• Semi-relativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model
• Single pion production in neutrino nucleus scattering
• Multinucleon ejection model for Meson Exchange Current neutrino interactions
• Photon emission in neutral current interactions at intermediate energies
• Influence of short-range correlations in neutrino-nucleus scattering
• Extracting the Mass Dependence and Quantum Numbers of Short-Range Correlated Pairs from A(e,e'p) and A(e,e'pp) Scattering
• Stylized features of single-nucleon momentum distributions
• Role of 2p-2h MEC excitations in superscaling
• Watson's theorem and the $N\Delta (1232)$ axial transition
• Pionic correlations and meson-exchange currents in two-particle emission induced by electron scattering
• Electroweak single-pion production off the nucleon: from threshold to high invariant masses
• Seagull and pion-in-flight currents in neutrino-induced $1N$ and $2N$ knockout
• Relativistic effects in two-particle emission for electron and neutrino reactions
• Measurement of transparency ratios for protons from short-range correlated pairs
• Final-state interactions in two-nucleon knockout reactions
• Angular distribution in two-particle emission induced by neutrinos and electrons
• The frozen nucleon approximation in two-particle two-hole response functions
• Density dependence of 2p-2h meson-exchange currents
• Hammer events, neutrino energies, and nucleon-nucleon correlations
• Search for nucleon-nucleon correlations in neutrino-argon scattering

Cited by in corpus (9)

• Neutrino-nucleus cross section within the extended factorization scheme
• Electron- versus neutrino-nucleus scattering
• Neutrino-Oxygen CC0$\pi$ scattering in the SuSAv2-MEC model
• Antineutrino Charged-Current reactions on Hydrocarbon with Low Momentum Transfer
• 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