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

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.

arXiv comment6 pages, discussion of the Omega(2012) width in the molecular picture is added

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Cited by in corpus (20)

• QCD and the Strange Baryon Spectrum
• $\Omega$ baryon spectrum and their decays in a constituent quark model
• Search for $\Omega (2012)\to K\Xi (1530)\to K\pi \Xi$ at Belle
• Molecular picture for the $\Omega (2012)$ revisited
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• Theoretical study of the $\Omega (2012)$ state in the ${\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ and ${\pi }^{+}(\bar{K}\Xi \pi {)}^{-}$ decays
• Spectroscopic Study of Strangeness=-3 ${\Omega }^{-}$ Baryon
• Toward discovering the excited $\Omega$ baryons through nonleptonic weak decays of ${\Omega }_c$
• Interpretation of the ${\Omega }_c\to {\pi }^{+}\Omega (2012)\to {\pi }^{+}(\bar{K}\Xi )$ relative to ${\Omega }_c\to {\pi }^{+}\bar{K}\Xi$ from the $\Omega (2012)$ molecular perspective
• Can $\Omega (2012)$ be explained as a molecular state?
• Strong decays of the hadronic molecule ${\Omega }^{\ast }(2012)$
• Quantum number assignments of light strange baryons in Regge phenomenology
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Understanding the nature of $\Omega (2012)$ in a coupled-channel approach
• Further understanding the nature of $\Omega (2012)$ within a chiral quark model
• Reanalysis of the newly observed ${\Omega }^{\ast }$ state in hadronic molecule model
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• Observation of the $\Omega$(2012) baryon at the LHC
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule
• Investigation on the $\Omega (2012)$ from QCD sum rules