Testing Bell's Inequality using Charmonium Decays

This paper discusses the feasibility of testing Bell's inequality with the charmonium decays η_c -> Λ Λ, χ_c0 -> ΛΛ and J/Ψ -> ΛΛ. 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 η_c channel and the χ_c0 channel maximally violate Bell's inequality, while the J/Ψ 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.