Testing the Bell Inequality at Experiments of High Energy Physics

TL;DR

This paper explores testing the Bell inequality in high energy physics experiments using decay processes, combining Monte Carlo simulations based on quantum field theory with proposed improvements to address critiques, aiming for experimental validation at facilities like BES III.

Contribution

It introduces a method to test Bell inequality in high energy experiments using decay processes and provides simulation results along with suggested improvements to address prior critiques.

Findings

Monte Carlo simulation of decay processes consistent with quantum field theory

Identification of database size needed to observe Bell inequality deviations

Proposed methodological improvements to address critiques

Abstract

Besides using the laser beam, it is very tempting to directly testify the Bell inequality at high energy experiments where the spin correlation is exactly what the original Bell inequality investigates. In this work, we follow the proposal raised in literature and use the successive decays $J/\psi\to\gamma\eta_c\to \Lambda\bar\Lambda\to p\pi^-\bar p\pi^+$ to testify the Bell inequality. Our goal is twofold, namely, we first make a Monte-Carlo simulation of the processes based on the quantum field theory (QFT). Since the underlying theory is QFT, it implies that we pre-admit the validity of quantum picture. Even though the QFT is true, we need to find how big the database should be, so that we can clearly show deviations of the correlation from the Bell inequality determined by the local hidden variable theory. There have been some critiques on the proposed method, so in the second part, we suggest some improvements which may help to remedy the ambiguities indicated by the critiques. It may be realized at an updated facility of high energy physics, such as BES III.