Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory

Abstract

We report a theoretical study of the axial Nucleon to Delta(1232) ($N\to \Delta$) transition form factors up to one-loop order in relativistic baryon chiral perturbation theory. We adopt a formalism in which the $\Delta$ couplings obey the spin-3/2 gauge symmetry and, therefore, decouple the unphysical spin-1/2 fields. We compare the results with phenomenological form factors obtained from neutrino bubble chamber data and in quark models.

Comments: A few clarifying remarks added; version to appear in Physical Review D