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We study CP violation in fermion pair decays of neutral boson particles withspin 0 or 1. We study a new asymmetry to measure CP violation in $\eta, K_L\rightarrow \mu^+\mu^-$ decays and discuss the possibility of measuring itexperimentally. For the spin-1 particles case, we study CP violation in thedecays of $J/\psi$ to $SU(3)$ octet baryon pairs. We show that these decays canbe used to put stringent constraints on the electric dipole moments of$\Lambda$, $\Sigma$ and $\Xi$.Comment: 14p, OZ-93/22, UM-93/89, OITS 51

CPviolation in fermion pair decays of neutral boson particles