6533b828fe1ef96bd128781a

RESEARCH PRODUCT

Watson’s theorem and theNΔ(1232)axial transition

Luis Alvarez-rusoE. HernándezM. J. Vicente VacasJuan Nieves

subject

PhysicsPionUnitarity010308 nuclear & particles physicsQuantum mechanics0103 physical sciencesQuark modelProduction (computer science)Neutrino010306 general physicsMultipole expansion01 natural sciencesNuclear theory

description

We present a new determination of the $N\mathrm{\ensuremath{\Delta}}$ axial form factors from neutrino induced pion production data. For this purpose, the model of Hernandez et al. [Phys. Rev. D 76, 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.

https://doi.org/10.1103/physrevd.93.014016