Testing Bell's Inequality using Charmonium Decays

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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.