# Watson's theorem and the $N\Delta(1232)$ axial transition

@inproceedings{AlvarezRuso2016WatsonsTA,
title={Watson's theorem and the \$N\Delta(1232)\$ axial transition},
author={Luis Alvarez-Ruso and E. Hern'andez and Juan Nieves and Manuel Jos{\'e} Vicente Vacas},
year={2016}
}
• Luis Alvarez-Ruso, +1 author Manuel José Vicente Vacas
• Published 2016
• Physics
• We present a new determination of the $N\Delta$ axial form factors from neutrino induced pion production data. For this purpose, the model of Hernandez {\it et al.} [Phys. Rev. D76, 033005 (2007)] is improved by partially restoring unitarity. This is accomplished by imposing Watson's theorem on the dominant vector and axial multipoles. As a consequence, a larger $C_5^A(0)$, in good agreement with the prediction from the off-diagonal Goldberger-Treiman relation, is now obtained.

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## Neutrino pion-production on a nucleon

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