Measurements of the absolute branching fractions of $Ω^-$ decays and test of the $ΔI = 1/2$ rule
Based on a data set of $(27.12\pm0.10)\times 10^8$ $ψ(3686)$ events collected at the BESIII experiment, the absolute branching fractions of the three dominant $Ω^-$ decays are measured to be $\mathcal{B}_{Ω^- \to Ξ^0 π^-} = (25.03\pm0.44\pm0.53)\%$, $\mathcal{B}_{Ω^- \to Ξ^- π^0} = (8.43\pm0.52\pm0.28)\%$, and $\mathcal{B}_{Ω^- \to ΛK^-} = (66.3\pm0.8\pm2.0)\%$, where the first and second uncertainties are statistical and systematic, respectively. The ratio between $\mathcal{B}_{Ω^- \to Ξ^0 π^-}$ and $\mathcal{B}_{Ω^- \to Ξ^- π^0}$ is determined to be $2.97\pm0.19\pm0.11$, which is in good agreement with the PDG value of $2.74\pm0.15$, but greater by more than four standard deviations than the theoretical prediction of 2 obtained from the $ΔI = 1/2$ rule.