Chiral perturbation theory study of the axial $N\to\Delta(1232)$ transition

TL;DR

This paper presents a theoretical analysis of the axial N to Delta(1232) transition form factors using covariant baryon chiral perturbation theory up to one-loop order, focusing on decoupling unphysical spin components.

Contribution

It introduces a formalism that effectively decouples unphysical spin-1/2 components of the Delta fields in chiral perturbation theory.

Findings

Calculated transition form factors up to one-loop order

Demonstrated decoupling of unphysical spin components

Provided insights into axial N to Delta transitions

Abstract

We have performed a theoretical study of the axial Nucleon to Delta(1232) ($N\to\Delta$) transition form factors up to one-loop order in covariant baryon chiral perturbation theory within a formalism in which the unphysical spin-1/2 components of the $\Delta$ fields are decoupled.