English

Low--Energy Theorems for Weak Pion Production

High Energy Physics - Phenomenology 2011-07-19 v1 Nuclear Theory

Abstract

We derive novel low--energy theorems for single pion production off nucleons through the isovector axial current. We find that the k2k^2-dependence of the multipole L0+(+)L_{0+}^{(+)} at threshold is given by the nucleon scalar form factor, namely σ(k2Mπ2)/(3πMπFπ)\sigma(k^2-M_\pi^2 ) /(3 \pi M_\pi F_\pi ). The relation to PCAC results for soft pions including electroweak form factors is also clarified.

Keywords

Cite

@article{arxiv.hep-ph/9312307,
  title  = {Low--Energy Theorems for Weak Pion Production},
  author = {V. Bernard and N. Kaiser and Ulf-G. Meißner},
  journal= {arXiv preprint arXiv:hep-ph/9312307},
  year   = {2011}
}

Comments

9 pp, TeX, 2 figures available as ps files, CRN 93-56

R2 v1 2026-07-22T14:19:27.840Z