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arxiv: hep-ph/9312307 · v1 · pith:567GC363new · submitted 1993-12-20 · ✦ hep-ph · nucl-th

Low--Energy Theorems for Weak Pion Production

classification ✦ hep-ph nucl-th
keywords formlow--energypionproductiontheoremsaxialclarifiedcurrent
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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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