Test of $CP$ Symmetry in the Neutral Decays of $Λ$ via $J/ψ\toΛ\barΛ$

Abstract

Using $(10087\pm44)\times10^{6}$ $J/ψ$ events collected with the BESIII detector, a full angular distribution analysis is carried out on the process $J/ψ\rightarrowΛ\barΛ\rightarrow nπ^{0}\bar{p}π^{+}+c.c.$ The decay parameters $α_{0}$ for $Λ\rightarrow nπ^{0}$ and $\barα_{0}$ for $\barΛ\rightarrow \bar{n}π^{0}$ are measured to be $0.668\pm0.007\pm0.002$ and $-0.677\pm0.007\pm0.003$, respectively, yielding the most precise test for $CP$ symmetry of neutral decays of $Λ$, $A_{CP}^{0}=(α_{0}+\barα_{0})/(α_{0}-\barα_{0})$, to be $-0.006\pm0.007\pm0.002$. The ratios $α_{0}/α_{-}$ and $\barα_{0}/α_{+}$ are determined to be $0.884\pm0.013\pm0.006$ and $0.885\pm0.013\pm0.004$, where $α_{-}$ and $α_{+}$ are the decay parameters of $Λ\rightarrow pπ^{-}$ and $\barΛ\rightarrow\bar{p}π^{+}$, respectively. The ratios, found to be smaller than unity by more than $5σ$, confirm the presence of the $ΔI = 3/2$ transition in the $Λ$ and $\barΛ$ decays, which is expected to improve the theoretical calculations for strong and weak phases, and $A_{CP}$, in hyperon decays. In all results, the first and second uncertainties are statistical and systematic, respectively.