Abstract
This work represents an extension of the single pion production model proposed by D. Rein. The model consists of resonant pion production and nonresonant background contributions coming from three Born diagrams in the helicity basis. The new work includes lepton mass effects, and nonresonant interaction is described by five diagrams based on a nonlinear {\sigma} model. This work provides a full kinematic description of single pion production in the neutrino-nucleon interactions, including resonant and nonresonant interactions in the helicity basis, in order to study the interference effect.
Highlights
Neutrino-nucleon interactions that produce a single pion in the final state are of critical importance to acceleratorbased neutrino experiments
These single pion production (SPP) channels make up the largest fraction of the inclusive neutrino-nucleus cross section in the 1–3 GeV range, a region covered by most accelerator-based neutrino beams
1F~ (G~ ) is a function of E; W; Q2; θ, and φ, but here we only show θ and φ in comparison with Fj (Gj) in Eq (22), which is not a function of pion angles. 2The helicity amplitudes in Eq (16) are not independent
Summary
Neutrino-nucleon interactions that produce a single pion in the final state are of critical importance to acceleratorbased neutrino experiments These single pion production (SPP) channels make up the largest fraction of the inclusive neutrino-nucleus cross section in the 1–3 GeV range, a region covered by most accelerator-based neutrino beams. Models of SPP cross section processes are required to accurately predict the number and topology of observed charged-current (CC) neutrino interactions and to estimate the dominant source of neutral-current (NC) backgrounds, where a charged (neutral) pion is confused for a final-state muon (electron). These experiments make use of nuclear targets.
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