Nucleon and Delta axial-vector couplings in 1/Nc - Baryon Chiral Perturbation Theory

TL;DR

This paper investigates baryon axial-vector couplings using a combined 1/Nc and chiral expansion framework, including one-loop effects, and compares results with Lattice QCD data for nucleons and Delta baryons.

Contribution

It introduces a unified approach linking 1/Nc and chiral expansions for baryon axial couplings, incorporating one-loop corrections and lattice data analysis.

Findings

Agreement with Lattice QCD results for axial couplings

Validation of the combined expansion framework

Insights into large Nc baryon symmetry

Abstract

In this contribution, baryon axial-vector couplings are studied in the framework of the combined 1/Nc and chiral expansions. This framework is implemented on the basis of the emergent spin-flavor symmetry in baryons at large Nc and HBChPT, and linking both expansions (\xi-expansion), where 1/Nc is taken to be a quantity O(p). The study is carried out including one-loop contributions, which corresponds to O(\xi^3) for baryon masses and O(\xi^2) for the axial couplings. An analysis of the Lattice QCD results for the axial couplings of both N and \Delta is presented.