Baryon Octet magnetic moments in $\chi$PT: More on the importance of the Decuplet

TL;DR

This paper investigates the role of the decuplet of spin-3/2 baryons in chiral perturbation theory calculations of octet baryon magnetic moments, showing that including the decuplet maintains the expected convergence of the expansion.

Contribution

The study provides a complete calculation of octet baryon magnetic moments including decuplet contributions, demonstrating improved convergence in chiral perturbation theory.

Findings

Decuplet contributions preserve chiral expansion convergence.

Complete O(1/Λ_chi) calculation including decuplet effects.

Contrasts with previous analyses lacking decuplet inclusion.

Abstract

We address the impact of treating the decuplet of spin-3/2 baryons as an explicit degree of freedom in the chiral expansion of the magnetic moments of the octet of spin-1/2 baryons. We carry out a complete calculation of the octet moments to O(1/\lamchic), including decuplet contributions to the chiral loops. In contrast to results of previous analyses, we find that inclusion of the decuplet preserves the convergence behavior of the chiral expansion implied by power counting arguments.