Strong decays of multistrangeness baryon resonances in the quark model

Abstract

Decay properties of multistrangeness $\mathrm{\ensuremath{\Xi}}$ and $\mathrm{\ensuremath{\Omega}}$ baryon resonances are investigated within the constituent quark model by including relativistic corrections. The strong decay widths of various $\mathrm{\ensuremath{\Xi}}$ and $\mathrm{\ensuremath{\Omega}}$ resonances are computed and tested for internal quark configurations to pin down their spin-parity (${J}^{P}$) quantum numbers and internal structures. We found that the Roper-like resonances in the multistrangeness sector have large decay widths bearing resemblances to their siblings in light and heavy baryon sectors. In addition, we obtained the decay ratio for the $\mathrm{\ensuremath{\Omega}}(2012)$ as $\mathrm{\ensuremath{\Gamma}}(\mathrm{\ensuremath{\Omega}}\ensuremath{\rightarrow}\mathrm{\ensuremath{\Xi}}\overline{K}\ensuremath{\pi})/\mathrm{\ensuremath{\Gamma}}(\mathrm{\ensuremath{\Omega}}\ensuremath{\rightarrow}\mathrm{\ensuremath{\Xi}}\overline{K})=4.5%$, which is consistent with the experimental data when ${J}^{P}=3/{2}^{\ensuremath{-}}$ is assigned. This observation holds the possibility that the $\mathrm{\ensuremath{\Omega}}(2012)$ could naturally be explained as a three-quark state in the quark model. The decays of other low-lying $\mathrm{\ensuremath{\Xi}}$ and $\mathrm{\ensuremath{\Omega}}$ resonances are systematically analyzed, which would be useful to unveil the structure of these resonances in future experiments.