Abstract
By considering only the order of the coupling strength responsible for the G parity violation mixing in the ρ–ω system, we can find a new bound for the mixing parameters in the 2π decay channel which is stricter than the one obtained previously (Gien). It is also shown that if the sign of the ratio of the transition amplitudes for the decays of 'bare' rho and omega in the 2π channel is known, a part of the bound may even be shown independent of the magnitude of the coupling strength. A new graphical representation is given for comparison.
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