Charge Radii of the Meson and Baryon Octets in Quenched and Partially Quenched Chiral Perturbation Theory

TL;DR

This paper computes the electric charge radii of mesons and baryons using quenched and partially quenched chiral perturbation theory, aiding the extrapolation of lattice QCD results.

Contribution

It provides new theoretical expressions for charge radii in quenched and partially quenched frameworks up to next-to-leading order.

Findings

Derived formulas for meson and baryon charge radii in various chiral theories.

Results facilitate lattice QCD extrapolations of charge radii.

Includes expressions for SU(2) flavor symmetry breaking effects.

Abstract

We calculate the electric charge radii of the SU(3) pseudoscalar mesons and the SU(3) octet baryons in quenched and partially quenched chiral perturbation theory. We work in the isospin limit, up to next-to-leading order in the chiral expansion, and to leading order in the heavy baryon expansion. The results are necessary for the extrapolation of future lattice calculations of meson and baryon charge radii. We also derive expressions for the nucleon and pion charge radii in SU(2) flavor away from the isospin limit.