The lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments in chiral perturbation theory

TL;DR

This paper reviews recent advances in calculating the magnetic moments of spin-1/2 and spin-3/2 baryons using Chiral Perturbation Theory, showing good agreement with experimental data at next-to-leading order.

Contribution

It demonstrates that next-to-leading-order ChPT effectively describes octet baryon magnetic moments and provides predictions for decuplet baryons, including the $ riangle$ states.

Findings

ChPT accurately models octet baryon magnetic moments.

Predictions for decuplet baryon magnetic moments align with data.

The $ riangle^{++}$ and $ riangle^+$ moments agree with experimental uncertainties.

Abstract

We review some recent progress in our understanding of the lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments (MMs) in terms of Chiral Perturbation Theory (ChPT). In particular, we show that at next-to-leading-order ChPT can describe the MMs of the octet baryons quite well. We also make predictions for the decuplet MMs at the same chiral order. Among them, the MMs of the $\Delta^{++}$ and $\Delta^+$ are found to agree well with data within the experimental uncertainties.