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Exploring the $ \Omega^- $ spectrum in lattice QCD
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abstract
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.
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Cited by 1 Pith paper
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Physical interpretation of the 2s excitation of the nucleon
The 2s radial excitation of the nucleon is found to stay near 2 GeV when meson-baryon couplings are suppressed by quenching, supporting its association with the N(1710) and N(1880) resonances rather than the Roper.
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