Incoherent Pion Production in Neutrino - Deuteron Reactions

Abstract

Within the multiple scattering formulation, the incoherent pion production in neutrino-deuteron reactions at energies near the $\Delta (1232)$ resonance is investigated. The calculations include an impulse term and one-loop contributions from nucleon-nucleon ($NN$) and pion-nucleon ($\pi N$) final state interactions. The input amplitudes of $\pi N$ scattering and electroweak pion production reaction on nucleon are generated from a dynamical model which describes very extensive data of $\pi N$ scattering and both the electromagnetic and the weak pion production reactions on the nucleon. The $NN$ scattering amplitudes are generated from the Bonn potential. The validity of the calculational procedures is established by giving a reasonably good description of the data of pion photo-production on the deuteron. The constructed model is then applied to predict the cross sections of $\nu +d\to {\mu }^{-}+{\pi }^{+}+n+p$ and $\nu +d\to {\mu }^{-}+{\pi }^0+p+p$ reactions. The importance of including the $NN$ final state interactions to understand the experimental data of these neutrino-deuteron reactions is demonstrated. Our results strongly suggest that the spectator approximation used in the previous analyses to extract the pion production cross sections on the nucleon from the data on the deuteron is not valid for the $\nu +d\to {\mu }^{-}+{\pi }^{+}+n+p$, but is a good approximation for $\nu +d\to {\mu }^{-}+{\pi }^0+p+p$.

arXiv comment22 pages, 13 figures

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Cited by in corpus (21)

• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Dynamical coupled-channels model for neutrino-induced meson productions in resonance region
• Constraining the GENIE model of neutrino-induced single pion production using reanalyzed bubble chamber data
• Isospin decomposition of $\gamma N\to N^{\ast }$ transitions within a dynamical coupled-channels model
• Electron- versus neutrino-nucleus scattering
• Neutrino event generators: foundation, status and future
• Watson's theorem and the $N\Delta (1232)$ axial transition
• Electroweak single-pion production off the nucleon: from threshold to high invariant masses
• Weak charged and neutral current induced one pion production off the nucleon
• Towards a Unified Model of Neutrino-Nucleus Reactions for Neutrino Oscillation Experiments
• Neutrino-induced one-pion production revisited: the ${\nu }_{\mu }n\to {\mu }^{-}n{\pi }^{+}$ channel
• Pion Production in High-Energy Neutrino Reactions with Nuclei
• Progress in measurements of 0.1--10 GeV neutrino-nucleus scattering and anticipated results from future experiments
• Impact of final state interactions on neutrino-nucleon pion production cross sections extracted from neutrino-deuteron reaction data
• Toward establishing low-lying $\Lambda$ and $\Sigma$ hyperon resonances with the $\bar{K}+d\to \pi +Y+N$ reaction
• Extraction of $\gamma n\to \pi N$ observables from deuteron-target data
• Polarization Transfer in Weak Pion Production off the Nucleon
• Electroweak Single Pion Production and Form Factors of the Δ(1232) Resonance
• Present Status of Single Pion Production in Neutrino-Nucleus Reactions
• Neutrino-induced meson productions
• Neutrino-Deuteron Reactions in the $\Delta$(1232) Region