Ω(2012) through the looking glass of flavour SU(3)

Abstract

We perform the flavour SU(3) analysis of the recently discovered Ω(2012) hyperon. We find that well known (four star) Δ(1700) resonance with quantum numbers of JP=3/2− is a good candidate for the decuplet partner of Ω(2012) if the branching for the three-body decays of the latter is not too large ≤70%. That implies that the quantum numbers of Ω(2012) are I(JP)=0(3/2−). The predictions for the properties of still missing Σ and Ξ decuplet members are made. We also discuss the implications of the K‾Ξ(1530) molecular picture of Ω(2012). In the molecular picture, Ω(2012) state can have quantum numbers of either I(JP)=0(3/2−) or I(JP)=1(3/2−). Crucial experimental tests to distinguish various pictures of Ω(2012) are suggested. Keywords: Omega baryon, SU(3) flavour symmetry, Excited decuplet, Hadronic molecule, Decay width