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

TL;DR

This paper investigates the newly observed Omega(2012) resonance and other low-lying Omega baryons, analyzing their strong decay properties to determine their quantum states and predict potential observable states.

Contribution

It provides a theoretical assignment of Omega(2012) as a 1P-wave state with J^P=3/2^- and suggests Omega(2250) as a 1D-wave state with J^P=5/2^+ based on decay analysis.

Findings

Omega(2012) likely a 1P-wave, J^P=3/2^- state

Omega(2250) possibly a 1D-wave, J^P=5/2^+ state

Other missing Omega states may be observed in decay channels

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 $^3P_0$ 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.