Low--Energy Theorems for Weak Pion Production

Abstract

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

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

References in corpus (2)

• Recent Developments in Chiral Perturbation Theory
• Chiral Corrections to the S-Wave Pion-Nucleon Scattering Lengths

Cited by in corpus (8)

• Chiral perturbation theory
• Parity-Violating Excitation of the Δ(1232): Hadron Structure and New Physics
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Neutral-current weak pion production off the nucleon in covariant chiral perturbation theory
• Pion photoproduction off nucleons in covariant chiral perturbation theory
• Weak quasielastic electroproduction of hyperons with polarization observables
• Parity violating pion electroproduction off the nucleon
• Soft Pion Emission in Hard Exclusive Pion Production