Electromagnetic Properties of the Baryon Decuplet in Quenched and Partially Quenched Chiral Perturbation Theory

TL;DR

This paper computes electromagnetic properties of decuplet baryons using quenched and partially quenched chiral perturbation theory, providing formulas crucial for interpreting lattice QCD results.

Contribution

It offers the first next-to-leading order expressions for decuplet baryon electromagnetic properties in quenched and partially quenched chiral perturbation theory.

Findings

Quenched calculations are shown to be pathological.

Partially quenched results are provided for SU(2) and SU(3) groups.

Results aid in extrapolating lattice QCD data.

Abstract

We calculate electromagnetic properties of the decuplet baryons in quenched and partially quenched chiral perturbation theory. We work at next-to-leading order in the chiral expansion, leading order in the heavy baryon expansion, and obtain expressions for the magnetic moments, charge radii, and electric quadrupole moments. The quenched calculation is shown to be pathological since only quenched chiral singularities are present at this order. We present the partially quenched results for both the SU(2) and SU(3) flavor groups and use the isospin limit in the latter. These results are necessary for proper extrapolation of lattice calculations of decuplet electromagnetic properties.