English

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

High Energy Physics - Phenomenology 2016-01-19 v3 High Energy Physics - Experiment Nuclear Experiment Nuclear Theory

Abstract

We present a new determination of the NΔN\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 C5A(0)C_5^A(0), in good agreement with the prediction from the off-diagonal Goldberger-Treiman relation, is now obtained.

Keywords

Cite

@article{arxiv.1510.06266,
  title  = {Watson's theorem and the $N\Delta(1232)$ axial transition},
  author = {L. Alvarez-Ruso and E. Hernández and J. Nieves and M. J. Vicente Vacas},
  journal= {arXiv preprint arXiv:1510.06266},
  year   = {2016}
}

Comments

17 latex pages, 7 figures, 2 tables. Some typos corrected