Newly observed $\mathrm{\Omega }(2012)$ state and strong decays of the low-lying $\mathrm{\Omega }$ excitations

Stimulated by the newly discovered $\mathrm{\Omega }(2012)$ resonance at Belle II, in this work we have studied the OZI allowed strong decays of the low-lying $1P$- and $1D$-wave $\mathrm{\Omega }$ baryons within the ${}^3{P}_0$ model. It is found that $\mathrm{\Omega }(2012)$ is most likely to be a $1P$-wave $\mathrm{\Omega }$ state with $J^P=3\mathrm{/}{2}^{-}$. We also find that the $\mathrm{\Omega }(2250)$ state could be assigned as a $1D$-wave state with $J^P=5\mathrm{/}{2}^{+}$. The other missing $1P$- and $1D$-wave $\mathrm{\Omega }$ baryons may have large potentials to be observed in their main decay channels.