Low--Energy Theorems for Weak Pion Production

Details Low--Energy Theorems for Weak Pion Production Low--Energy Theorems for Weak Pion Production

1993-12-20

arxiv.org/abs/hep-ph/9312307v1

Phys.Lett.B331:137-142,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/0370-2693(94)90954-7

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.

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