Testing Bell's Inequality using Charmonium Decays

TL;DR

This paper explores testing Bell's inequality through specific charmonium decays, proposing a measurable formulation and analyzing potential violations with experimental simulations.

Contribution

It introduces a new momentum-based formulation of Bell's inequality tailored for charmonium decays and assesses their potential to demonstrate quantum nonlocality.

Findings

a_c and a_c0 channels can maximally violate Bell's inequality.

J/a channel shows no violation, aligning with quantum predictions.

Simulations estimate experimental feasibility and statistical significance.

Abstract

This paper discusses the feasibility of testing Bell's inequality with the charmonium decays \eta_c -> \Lambda \Lambda, \chi_{c0} -> \Lambda\Lambda and J/\Psi -> \Lambda\Lambda. We develop a new formulation of the Bell's inequality represented with particles' momenta which can be measured definitely in experiment and seek if it violates in these decays. It is illustrated that the \eta_c channel and the \chi_{c0} channel maximally violate Bell's inequality, while the J/\Psi channel gives no inconsistency with it. Simulations dealing with experimental aspects are also implemented. The expected statistical fluctuations and achievable significance are estimated as a function of sample size.