Octet baryon mass splittings from up-down quark mass differences

TL;DR

This paper calculates the mass differences within the baryon octet caused by up-down and strange quark mass differences using an SU(3) flavor symmetry breaking expansion, enabling efficient lattice QCD simulations.

Contribution

It introduces a method to determine baryon mass splittings from quark mass differences using SU(3) symmetry breaking expansion with computationally cheaper simulations.

Findings

Quantitative estimates of neutron-proton, Sigma, and Xi mass splittings.

Validation of SU(3) flavor symmetry breaking expansion approach.

Numerical results consistent with experimental data.

Abstract

Using an SU(3) flavour symmetry breaking expansion in the quark mass, we determine the QCD component of the neutron-proton, Sigma and Xi mass splittings of the baryon octet due to up-down (and strange) quark mass differences. Provided the average quark mass is kept constant, the expansion coefficients in our procedure can be determined from computationally cheaper simulations with mass degenerate sea quarks and partially quenched valence quarks. Full details and numerical results are given in ref 1.