One pion production in neutrino-nucleon scattering and the different parametrizations of the weak $N\to \Delta$ vertex

Abstract

The $N\to \Delta$ weak vertex provides an important contribution to the one pion production in neutrino-nucleon and neutrino-nucleus scattering for $\pi N$ invariant masses below 1.4 GeV. Beyond its interest as a tool in neutrino detection and their background analyses, one pion production in neutrino-nucleon scattering is useful to test predictions based on the quark model and other internal symmetries of strong interactions. Here we try to establish a connection between two commonly used parametrizations of the weak $N\to \Delta$ vertex and form factors (FF) and we study their effects on the determination of the axial coupling $C_5^A(0)$, the common normalization of the axial FF, which is predicted to hold 1.2 by using the PCAC hypothesis. Predictions for the ${\nu }_{\mu }p\to {\mu }^{-}p{\pi }^{+}$ total cross sections within the two approaches, which include the resonant ${\Delta }^{++}$ and other background contributions in a coherent way, are compared to experimental data.

Submitted to Physics Letters B

References in corpus (5)

• Weak Pion Production off the Nucleon
• Electron- and neutrino-nucleus scattering from the quasielastic to the resonance region
• Single pion production in neutrino nucleus scattering
• One pion production in neutrino reactions: including non-resonant background
• The MINERvA Neutrino Interaction Experiment

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• Weak pion production off the nucleon in covariant chiral perturbation theory
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking
• Angular distributions in Monte Carlo event generation of weak single-pion production
• Weak pion-production and the second resonance region
• Neutrino-induced single pion production and the reanalyzed bubble chamber data