$\Omega(2012)$ through the looking glass of flavour SU(3)

TL;DR

This paper analyzes the $ ext{Omega}(2012)$ hyperon using flavour SU(3) symmetry, proposing its quantum numbers, exploring its possible molecular nature, and predicting properties of related decuplet members to guide future experiments.

Contribution

The study provides a flavour SU(3) analysis of $ ext{Omega}(2012)$, suggesting its quantum numbers and exploring its molecular interpretation, along with predictions for related hyperons.

Findings

$ ext{Omega}(2012)$ likely has $I(J^P)=0(3/2^-)$.

The $ ext{Delta}(1700)$ resonance is a good candidate for its decuplet partner.

Predictions made for $ ext{Sigma}$ and $ ext{Xi}$ decuplet members.

Abstract

We perform the flavour $SU(3)$ analysis of the recently discovered $\Omega(2012)$ hyperon. We find that well known (four star) $\Delta(1700)$ resonance with quantum numbers of $J^P=3/2^-$ is a good candidate for the decuplet partner of $\Omega(2012)$ if the branching for the three-body decays of the latter is not too large $\le 70$\%. That implies that the quantum numbers of $\Omega(2012)$ are $I(J^P)=0(3/2^-)$. The predictions for the properties of still missing $\Sigma$ and $\Xi$ decuplet members are made. We also discuss the implications of the ${ \overline{ K} \Xi(1530)}$ molecular picture of $\Omega(2012)$. Crucial experimental tests to distinguish various pictures of $\Omega(2012)$ are suggested.