The Non-local Correlation of Spin in High Energy Physics

Non-locality is a key feature of quantum theory and is reflected in the violation of Bell inequalities for entangled systems. The experimental tests beyond the electromagnetism and massless quanta are of great importance for understanding the non-locality in different quantum interactions. In this work, we develop a generalized Clauser-Horne inequality pertaining especially to the high energy physics processes, which is quantum mechanical intervene free. We find, in the process of pseudoscalar quarkonium exclusive decay to entangled $\Lambda\bar{\Lambda}$ pair, the inequality could be violated and is verifiable in high energy experiments, like BES III or BELLE II.