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

Abstract

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