Incorporating Chiral Symmetry and Heavy Quark Theory in Extrapolations of Octet Baryon Charge Radii

TL;DR

This paper develops a method to extrapolate lattice QCD calculations of octet baryon charge radii to physical conditions by integrating chiral and heavy quark theories, successfully matching known data and predicting unknown values.

Contribution

It introduces a novel extrapolation approach combining chiral perturbation theory and heavy quark effective theory for baryon charge radii.

Findings

Extrapolated charge radii agree with experimental data for nucleons and Σ−.

Method predicts charge radii for other baryons awaiting experimental verification.

Inclusion of non-analytic pion loop terms improves extrapolation accuracy.

Abstract

We extrapolate lattice calculations of electric charge radii of the spin-1/2 baryon octet to the physical regime. The extrapolation procedure incorporates chiral perturbation theory and heavy quark effective theory in the appropriate limits. In particular, this procedure includes the non-analytic, logarithmic terms from pion loops. The electric charge radii of the nucleons and $\Sigma^-$ obtained from the chiral extrapolations agree well with experimental data. We make predictions for the charge radii of the remaining baryons in anticipation of future experimental measurements.