Polarization and Entanglement in Baryon-Antibaryon Pair Production in Electron-Positron Annihilation

Abstract

Using a sample of $1.31\times 10^9$ $J/ψ$ events collected with the BESIII detector, we report the first observation of spin polarization of $Λ$ and $\barΛ$ hyperons from the coherent production in the $J/ψ\toΛ\barΛ$ decay. We measure the phase between the hadronic form factors to be $ΔΦ=(42.4\pm0.6\pm0.5)^\circ$. The decay parameters for $Λ\to pπ^-$ ($α_-$), $\barΛ\to\bar pπ^+$ ($α_+$) and $\barΛ\to\bar nπ^0$ ($\barα_0$) are measured to be $α_-=0.750\pm0.009\pm0.004$, $α_+=-0.758\pm0.010\pm0.007$ and $\barα_0=-0.692\pm0.016\pm0.006$, respectively. The obtained value of $α_-$ is higher by $(17\pm 3)\%$ than the current world average. In addition, the $CP$ asymmetry of $-0.006\pm0.012\pm0.007$ is extracted with substantially improved precision. The ratio $\barα_0/α_{+} = 0.913\pm 0.028 \pm 0.012$ is also measured.

12 pages, 6 figures