The production of doubly strange hyperon ${\mathrm{\Xi }}^{-}$ and trebly strange hyperon ${\mathrm{\Omega }}^{-}$ in relativistic $\mathrm{Au}+\mathrm{Au}$ collisions at $\sqrt{s_{NN}}=4.2$ GeV is explored based on a relativistic transport model that is interweaved with hadronic mean-field potentials for heavy-ion collisions. Upon comparison, it appears that relative to the double-strangeness observable ${\mathrm{\Xi }}^{-}$, the yield and collective flows of the triple-strange ${\mathrm{\Omega }}^{-}$ exhibit a higher sensitivity to the equation of state of dense matter. This characteristic makes the ${\mathrm{\Omega }}^{-}$ an essential observable for studying the properties of densely formed matter in relativistic heavy-ion collisions.

• Received 11 September 2023
• Revised 2 January 2024
• Accepted 10 April 2024

DOI:https://doi.org/10.1103/PhysRevC.109.054903