Impact of final state interactions on neutrino-nucleon pion production cross sections extracted from neutrino-deuteron reaction data

Abstract

The current and near-future neutrino oscillation experiments require significantly improved neutrino-nucleus reaction models. Neutrino-nucleon pion production data play a crucial role to validate corresponding elementary amplitudes that go into such neutrino-nucleus models. Thus the currently available data extracted from charged-current neutrino-deuteron reaction data (${\nu }_{\mu }d\to {\mu }^{-}\pi NN$) must be corrected for nuclear effects such as the Fermi motion and final state interactions (FSI). We study ${\nu }_{\mu }d\to {\mu }^{-}\pi NN$ with a theoretical model including the impulse mechanism supplemented by FSI from $NN$ and $\pi N$ rescatterings. An analysis of the spectator momentum distributions reveals that the FSI effects significantly reduce the spectra over the quasi-free peak region, and leads to a useful recipe to extract information of elementary ${\nu }_{\mu }N\to {\mu }^{-}\pi N$ processes using ${\nu }_{\mu }d\to {\mu }^{-}\pi NN$ data, with the important FSI corrections taken into account. We provide ${\nu }_{\mu }N\to {\mu }^{-}\pi N$ total cross sections by correcting the deuterium bubble chamber data for the FSI and Fermi motion. The results will bring a significant improvement on neutrino-nucleus reaction models for the near-future neutrino-oscillation experiments.

7 pages, 4 figures, supplemental material included as appendix, equations added, references added, published version

References in corpus (17)

• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Weak Pion Production off the Nucleon
• Electron- and neutrino-nucleus scattering from the quasielastic to the resonance region
• Resonance production by neutrinos: The second resonance region
• Reanalysis of bubble chamber measurements of muon-neutrino induced single pion production
• Constraining the GENIE model of neutrino-induced single pion production using reanalyzed bubble chamber data
• N-Delta(1232) axial form factors from weak pion production
• Isospin decomposition of $\gamma N\to N^{\ast }$ transitions within a dynamical coupled-channels model
• Neutrinoproduction of Photons and Pions From Nucleons in a Chiral Effective Field Theory for Nuclei
• Incoherent Pion Production in Neutrino - Deuteron Reactions
• Angular distributions in electroweak pion production off nucleons: odd parity hadron terms, strong relative phases and model dependence
• Towards a Unified Model of Neutrino-Nucleus Reactions for Neutrino Oscillation Experiments
• Neutrino-induced forward meson-production reactions in nucleon resonance region
• Progress in measurements of 0.1--10 GeV neutrino-nucleus scattering and anticipated results from future experiments
• Low-energy $\eta$-nucleon interaction studied with $\eta$ photoproduction off the deuteron
• Extraction of $\gamma n\to \pi N$ observables from deuteron-target data
• Nuclear applications of ANL-Osaka amplitudes: pion photo-productions on deuteron

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• Summary of Workshop on Common Neutrino Event Generator Tools
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• Assessing the theory-data tension in neutrino-induced charged pion production: the effect of final-state nucleon distortion
• Resonance axial-vector mass from experiments on neutrino-hydrogen and neutrino-deuterium scattering
• Dynamical coupled-channels approach to electroweak meson productions on nucleon and deuteron