Sensitivity of $CP$ Violation of $\mathrm{\Lambda }$ decay in $J\mathrm{/}\psi \to \mathrm{\Lambda }\bar{\mathrm{\Lambda }}$ at STCF

The process of $J\mathrm{/}\psi \to \mathrm{\Lambda }\bar{\mathrm{\Lambda }}$ is studied using $1.0\times {10}^{12}$ $J\mathrm{/}\psi$ Monte Carlo (MC) events at $\sqrt{s}$=3.097 GeV with a fast simulation software at future Super Tau Charm Facility (STCF). The statistical sensitivity for $CP$ violation is determined to be the order of $\mathcal{O}({10}^{-4})$ by measuring the asymmetric parameters of the $\mathrm{\Lambda }$ decay. Furthermore, the decay of $J\mathrm{/}\psi \to \mathrm{\Lambda }\bar{\mathrm{\Lambda }}$ also serves as a benchmark process to optimize the detector responses using the interface provided by the fast simulation software.