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arXiv · 1806.04427

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

Maxim V. Polyakov·Hyeon-Dong Son·Bao-Dong Sun·Asli Tandogan
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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.

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Maxim V. Polyakov, Hyeon-Dong Son, Bao-Dong Sun, Asli Tandogan. 2018-06-12. $\Omega(2012)$ through the looking glass of flavour SU(3). https://doi.org/10.1016/j.physletb.2019.03.054

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