A model-independent irreducible tensor formalism is developed to analyse $\overline{\mathrm{\Omega }}\mathrm{\Omega }$ production in $\overline{p}p$ collisions and its subsequent decay via the triple-strange decay process, ${\overline{\mathrm{\Omega }}}^{+}{\mathrm{\Omega }}^{-}\to K^{+}\overline{\mathrm{\Lambda }}{K}^{-}\mathrm{\Lambda }\to K^{+}\overline{p}{\pi }^{+}{K}^{-}p{\pi }^{-}$. These processes are relevant for the upcoming experiments at PANDA. We not only provide expressions for the density matrix of the $\mathrm{\Omega }\overline{\mathrm{\Omega }}$ system but also for the products at each stage of the decay. The Fano statistical tensors so obtained not only completely characterize the relevant final systems but also provide expressions for joint angular distributions. Finally, we show which of the Fano statistical tensors characterizing the $\overline{\mathrm{\Omega }}\mathrm{\Omega }$ system can be inferred from the Fano statistical tensors characterizing the final $\overline{p}p$ system, wherein we also obtain the relation between the production cross sections for $\mathrm{\Omega }\overline{\mathrm{\Omega }}$ and the final $p\overline{p}$ system.

开发了一种独立于模型的不可约张量形式来分析$\stackrel{￣}{\mathrm{\Omega }}\mathrm{\Omega }$生产于$\stackrel{￣}{p}p$碰撞及其随后通过三重奇异衰变过程的衰变，${\stackrel{￣}{\mathrm{\Omega }}}^{+}{\mathrm{\Omega }}^{-}\to K^{+}\stackrel{￣}{\mathrm{\Lambda }}{K}^{-}\mathrm{\Lambda }\to K^{+}\stackrel{￣}{p}{\pi }^{+}{K}^{-}p{\pi }^{-}$。这些过程与 PANDA 即将进行的实验相关。我们不仅提供了密度矩阵的表达式$\mathrm{\Omega }\stackrel{￣}{\mathrm{\Omega }}$系统还针对产品各个阶段的衰变。由此获得的Fano统计张量不仅完整地表征了相关的最终系统，而且还提供了关节角分布的表达式。最后，我们展示了哪些 Fano 统计张量表征了$\stackrel{￣}{\mathrm{\Omega }}\mathrm{\Omega }$系统可以从表征最终特征的 Fano 统计张量推断出来$\stackrel{￣}{p}p$系统，其中我们还获得了生产横截面之间的关系$\mathrm{\Omega }\stackrel{￣}{\mathrm{\Omega }}$和决赛$p\stackrel{￣}{p}$系统。