CPviolation in fermion pair decays of neutral boson particles

We study CP violation in fermion pair decays of neutral boson particles with spin 0 or 1. We study a new asymmetry to measure CP violation in η, ${\mathit{K}}_{\mathit{L}}$→${\mathrm{\mu }}^{+}$ ${\mathrm{\mu }}^{\mathrm{-}}$ decays and discuss the possibility of measuring it experimentally. For the spin-1 particles case, we study CP violation in the decays of J/ψ to SU(3) octet baryon pairs. We show that these decays can be used to put stringent constraints on the electric dipole moments of Λ, Σ, and Ξ.