Abstract
This paper discusses the feasibility of testing Bell's inequality with the charmonium decays η_c -> ΛΛ, χ_{c0} -> ΛΛand 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/Ψchannel 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.
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