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

TL;DR

This paper presents a relativistic baryon chiral perturbation theory calculation of the axial Nucleon to Delta transition form factors, comparing theoretical predictions with experimental and quark model data.

Contribution

It introduces a formalism ensuring proper spin-3/2 gauge symmetry for Delta couplings, improving the theoretical description of transition form factors.

Findings

Results align with phenomenological data

Formalism decouples unphysical spin-1/2 fields

Provides insights into Nucleon-Delta transition dynamics

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.