Watson's theorem and the $N\Delta(1232)$ axial transition
Watson's theorem and the $N\Delta(1232)$ axial transition
We thank Callum Wilkinson for making the results of Ref. [63] available to us. This research has been supported by the Spanish Ministerio de Economia y Competitividad (MINECO) and the European fund for regional development (FEDER) under Contracts No. FIS2011-28853-C02-01, No. FIS2011-28853-C02-02, No. FPA2013-47443-C2-2-P, No. FIS2014-51948-C2-1-P, No. FIS2014-51948-C2-2-P, No. FIS2014-57026-REDT, and No. SEV-2014-0398; by Generalitat Valenciana under Contract No. PROMETEOII/2014/0068; and by the European Union HadronPhysics3 project, Grant No. 283286.
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 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.
17 latex pages.- 7 figures.- 2 tables.- Some typos corrected
Peer reviewed
- University of Valencia Spain
- Spanish National Research Council Spain
- University of Salamanca Spain
High Energy Physics - Phenomenology, Nuclear Theory, Single-pion-production, Quark-model, Nuclear Experiment, High Energy Physics - Experiment
High Energy Physics - Phenomenology, Nuclear Theory, Single-pion-production, Quark-model, Nuclear Experiment, High Energy Physics - Experiment
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