Nucleon and $\Omega$ Baryon Masses with All-HISQ Fermions at the Physical Point

TL;DR

This study calculates nucleon and Omega baryon masses using all-HISQ fermions at physical pion mass across multiple lattice spacings, achieving results consistent with experimental values.

Contribution

It introduces a novel all-HISQ fermion approach for baryon mass calculations at the physical point, with comprehensive continuum extrapolation.

Findings

Nucleon mass: 964(16) MeV

Omega baryon mass: 1678(9) MeV

Results agree with experimental data within uncertainties

Abstract

We present the results of the nucleon and $\Omega$ baryon masses using staggered action for both valence and sea quarks. Three ensembles with the physical pion mass at approximate lattice spacings of $0.15$, $0.12$, and $0.088$fm are employed to extrapolate the masses to continuum and we obtain $M_N = 964(16)$ MeV and $M_\Omega = 1678(9)$. Both statistical and systematic uncertainties are included in the nucleon mass, whereas only the statistical uncertainty is accounted for in the $\Omega$ baryon mass.