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

Abstract

The process of $J/\psi \to \Lambda \bar{\Lambda }$ is studied using $1.0\times 10^{12}$ $J/\psi$ 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 $\Lambda$ decay. Furthermore, the decay of $J/\psi \to \Lambda \bar{\Lambda }$ also serves as a benchmark process to optimize the detector responses using the interface provided by the fast simulation software.