Angular Distribution of Production Planes in J/\psi \rightarrow \it \Lambda\bar\it \Lambda Decay

A new observable, the angle between \it \Lambda and \bar\it \Lambda decay planes, is proposed to test the theoretical predictions on the spin correlation. With 10 billion J/\psi events collected with the BESIII detector at the BEPCII e^+e^- collider, the distribution of the angle could be measured to verify whether or not a correlation exists.