Prediction of theΩbbbmass from lattice QCD

Abstract

The mass of the triply-heavy baryon ${\ensuremath{\Omega}}_{bbb}$ is calculated in lattice QCD with $2+1$ flavors of light sea quarks. The $b$ quark is implemented with improved lattice nonrelativistic QCD. Gauge field ensembles from both the RBC/UKQCD and MILC collaborations with lattice spacings in the range from 0.08 fm to 0.12 fm are used. The final result for the ${\ensuremath{\Omega}}_{bbb}$ mass, which includes an electrostatic correction, is $14.371\ifmmode\pm\else\textpm\fi{}{0.004}_{\mathrm{stat}}\ifmmode\pm\else\textpm\fi{}{0.011}_{\mathrm{syst}}\ifmmode\pm\else\textpm\fi{}{0.001}_{\mathrm{exp}}\text{ }\text{ }\mathrm{GeV}$. The hyperfine splitting between the physical $J=3/2$ state and a fictitious $J=1/2$ state is also calculated.