Weak pion production off the nucleon
By E. Hernández, J. Nieves, M. Valverde. 2007
143 citations recorded by the source corpus.
We develop a model for the weak pion production off the nucleon, which besides the delta pole mechanism [weak excitation of the $\ensuremath{\Delta}(1232)$ resonance and its subsequent decay into $N\ensuremath{\pi}$], includes also some background terms required by chiral symmetry. We refit the ${C}_{5}^{A}({q}^{2})$ form factor to the flux-averaged ${\ensuremath{\nu}}_{\ensuremath{\mu}}p\ensuremath{\rightarrow}{\ensuremath{\mu}}^{\ensuremath{-}}p{\ensuremath{\pi}}^{+}$ ANL ${q}^{2}$-differential cross section data, finding a substantially smaller contribution of the delta pole mechanism than traditionally assumed in the literature. Within this scheme, we calculate several differential and integrated cross sections, including pion angular distributions, induced by neutrinos and antineutrinos and driven both by charged and neutral currents. In all cases we find that the background terms produce quite significant effects, and that they lead to an overall improved description of the data, as compared to the case where only the delta pole mechanism is considered. We also show that the interference between the delta pole and the background terms produces parity-violating contributions to the pion angular differential cross section, which are intimately linked to $T$-odd correlations in the contraction between the leptonic and hadronic tensors. However, these latter correlations do not imply a genuine violation of time-reversal invariance because of the existence of strong final state interaction effects.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f3f6fc51e79e97caa6a3c1ba13e410636ba38caf
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In Nuclear and High Energy Physics
Citations in the corpus
- Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 2: The Physics Program for DUNE at LBNF (2015, background): “New models, which are available for some relevant regions of phase space, must be incorporated into generators and compared with data [52].”
- Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 1: The LBNF and DUNE Projects (2015, background): “New models, which are available for some relevant regions of phase space, must be incorporated into generators and compared with data [52].”