# Electromagnetic Structure of Light Baryons in Lattice QCD

## TL;DR

This study uses lattice QCD simulations with dynamical photons to analyze the electromagnetic structure and isomultiplet mass splittings of light baryons, providing detailed numerical results.

## Contribution

It introduces a method incorporating dynamical photon effects in lattice QCD to accurately compute baryon electromagnetic properties and mass splittings.

## Key findings

- Nucleon mass splitting of 1.55 MeV with statistical uncertainty
- Hyperon mass splittings: Σ0-Σ+ = 2.47 MeV, Σ−-Σ0 = 4.63 MeV, Ξ−-Ξ0 = 5.68 MeV
- Systematic corrections from finite volume and quenched approximation included

## Abstract

A method in which electromagnetic properties of hadrons are studied by direct simulation of dynamical photon effects is applied to the extraction of the isomultiplet structure of the octet baryons. Using 187 configurations at $\beta=5.7$ with Wilson action, and up and down quark masses determined from the meson spectrum, the nucleon splitting is found to be $1.55(\pm 0.56\; \rm stat)$ MeV; the hyperon splittings are found to be $\Sigma^{0}-\Sigma^{+}=2.47\pm 0.39$, $\Sigma^{-}-\Sigma^{0}=4.63\pm 0.36$, $\Xi^{-}-\Xi^{0}=5.68\pm 0.24$ MeV. Estimated systematic corrections arising from finite volume and the quenched approximation are included in these results.