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Based on a relativistic transport model coupled with hadronic mean-fieldpotentials for heavy-ion collisions, the productions of doubly strange hyperon$\Xi^-$ and trebly strange hyperon $\Omega^-$ in relativistic Au+Au collisionsat $\sqrt{s_{NN}}$ = 4.2 GeV are investigated. Compared with the doublestrangeness sensitive observable $\Xi^-$, the treble strangeness $\Omega^-$,whether its yields or its collective flows, is extremely sensitive to theequation of state (EoS) of dense matter, making it a valuable observable forprobing the properties of dense matter formed in relativistic heavy-ioncollisions.

$\Omega^-$ production as a probe of equation of state of dense matter near the QCD phase transition in relativistic heavy-ion collisions