Octet and decuplet baryon $\sigma$-terms and mass decompositions

TL;DR

This paper analyzes the masses and sigma-terms of SU(3) octet and decuplet baryons using lattice QCD and chiral effective theory, quantifying uncertainties and providing insights into their internal mass structure.

Contribution

It offers the first comprehensive analysis combining lattice QCD data and chiral theory to determine baryon sigma-terms and mass decompositions with systematic uncertainty quantification.

Findings

Pion-nucleon sigma-term: 44(3)(3) MeV

Strange nucleon sigma-term: 50(6)(1) MeV

Mass decomposition insights for strange baryons

Abstract

We present a comprehensive analysis of the SU(3) octet and decuplet baryon masses and $\sigma$-terms using high-precision lattice QCD data and chiral SU(3) effective theory with finite range regularization. The effects of various systematic uncertainties, including from the scale setting of the lattice data and the regularization prescriptions, are quantified. We find the pion-nucleon and strange nucleon $\sigma$-terms to be $\sigma_{\pi N} = 44(3)(3)$ MeV and $\sigma_{N s} = 50(6)(1)$ MeV, respectively. The results provide constraints on the energy-momentum tensor mass decompositions of the SU(3) octet and decuplet baryons, where we find the trace anomaly and quark/gluon energies decrease for strange baryons due to their larger strange $\sigma$-terms.