Exploring the $ \Omega^- $ spectrum in lattice QCD

We present an exploratory lattice QCD analysis of the $\Omega$-baryon spectrum. Using smeared three-quark operators in a correlation matrix analysis, we report masses for the ground, first and second excited states of the $J^P = 1/2^\pm,\, 3/2^\pm$ spectra across a broad range in the light quark mass. We investigate the parity and spin quantum numbers for the states observed on the lattice, looking to reconcile these with the resonances encountered in experiment. We find that the $\Omega^-(2012)$ as reported by the Particle Data Group corresponds to two overlapping resonances with $J^P = 1/2^-$ and $3/2^-$. We also propose quantum number assignments for the higher energy resonances, and identify successive radial excitations within the spectra.