Double strangeness ${\mathrm{\Xi }}^{-}$ production in Au+Au collisions at 2, 4, and 6 GeV/nucleon incident beam energies is studied with the pure hadron cascade version of a multi-phase transport model. It is found that due to larger nuclear compression, the model with the soft equation of state (EoS) gives larger yields of both single strangeness ($K^{+}$ and $\mathrm{\Lambda }+{\mathrm{\Sigma }}^0$) and double strangeness ${\mathrm{\Xi }}^{-}$. The sensitivity of the double strangeness ${\mathrm{\Xi }}^{-}$ to the EoS is evidently larger than that of $K^{+}$ or $\mathrm{\Lambda }+{\mathrm{\Sigma }}^0$ since the phase-space distribution of produced ${\mathrm{\Xi }}^{-}$ is more compact compared to those of the single strangeness. The larger sensitivity of the yields ratio of ${\mathrm{\Xi }}^{-}$ to the EoS from heavy and light systems is kept compared to that of the single strangeness. The study of ${\mathrm{\Xi }}^{-}$ production in relativistic heavy-ion collisions provides an alternative for the ongoing heavy-ion collision program at facilities worldwide for identifying the EoS at high densities, which is relevant to the investigation of the phase boundary and onset of deconfinement of dense nuclear matter.

双重陌生 ${\mathrm{\Xi }}^{-}$使用多相输运模型的纯强子级联版本研究了在 2、4 和 6 GeV/核子入射束能量下 Au+Au 碰撞的产生。发现由于更大的核压缩，具有软状态方程（EoS）的模型给出了更大的单奇异性（${钾}^{+}$ 和 $\mathrm{\Lambda }+{\mathrm{\Sigma }}^0$) 和双重陌生感 ${\mathrm{\Xi }}^{-}$. 双重陌生感${\mathrm{\Xi }}^{-}$ EoS 明显大于 ${钾}^{+}$ 要么 $\mathrm{\Lambda }+{\mathrm{\Sigma }}^0$ 由于产生的相空间分布 ${\mathrm{\Xi }}^{-}$与单一的陌生感相比更加紧凑。收益率的敏感性较大${\mathrm{\Xi }}^{-}$从重系统和轻系统到 EoS 的保持与单一陌生的相比。的研究${\mathrm{\Xi }}^{-}$ 相对论重离子碰撞中的产生为全球设施中正在进行的重离子碰撞计划提供了一种替代方案，用于识别高密度的 EoS，这与相边界的调查和致密核物质的解除限制有关。