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Strong decays of multi-strangeness baryon resonances in the quark model

Decay properties of multi-strangeness $Ξ$ and $Ω$ baryon resonances are investigated within the constituent quark model by including relativistic corrections. The strong decay widths of various $Ξ$ and $Ω$ 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 multi-strangeness 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 $Ω(2012)$ as $Γ{(Ω\to Ξ\bar{K} π)} / Γ{(Ω\to Ξ\bar{K})}=4.5\%$, which is consistent with the experimental data when $J^P=3/2^-$ is assigned. This observation holds the possibility that the $Ω(2012)$ could naturally be explained as a three-quark state in the quark model. The decays of other low-lying $Ξ$ and $Ω$ resonances are systematically analyzed, which would be useful to unveil the structure of these resonances in future experiments.