Strangeness in the baryon ground states

TL;DR

This paper analyzes the strangeness content of baryon ground states using lattice QCD data, chiral perturbation theory, and large-N_c sum rules, providing new insights into baryon mass dependencies and sigma terms.

Contribution

It offers a comprehensive analysis combining lattice simulations, chiral Lagrangian, and large-N_c estimates to determine baryon properties and flavor symmetry limits.

Findings

Determined axial coupling constants F and D consistent with semi-leptonic decay data.

Predicted pion- and strangeness sigma terms for baryons.

Reproduced flavor symmetric limits of baryon masses from lattice data.

Abstract

We compute the strangeness content of the baryon octet and decuplet states based on an analysis of recent lattice simulations of the BMW, PACS, LHPC and HSC groups for the pion-mass dependence of the baryon masses. Our results rely on the relativistic chiral Lagrangian and large-$N_c$ sum rule estimates of the counter terms relevant for the baryon masses at N$^3$LO. A partial summation is implied by the use of physical baryon and meson masses in the one-loop contributions to the baryon self energies. A simultaneous description of the lattice results of the BMW, LHPC, PACS and HSC groups is achieved. From a global fit we determine the axial coupling constants $F\simeq 0.45$ and $D \simeq 0.80 $ in agreement with their values extracted from semi-leptonic decays of the baryons. Moreover, various flavor symmetric limits of baron octet and decuplet masses as obtained by the QCDSF-UKQCD group are recovered. We predict the pion- and strangeness sigma terms and the pion-mass dependence of the octet and decuplet ground states at different strange quark masses.