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Using a low-background sample of $2.6\times 10^5$$J/\psi\rightarrow\omega\eta(\omega\rightarrow\pi^{+}\pi^{-}\pi^{0},\eta\rightarrow\gamma\gamma)$events, about 5 times larger statistics than previous experiments, we present aDalitz plot analysis of the decay $\omega\rightarrow\pi^{+}\pi^{-}\pi^{0}$. Itis found that the Dalitz plot distribution differs from the pure $P$-wave phasespace with a statistical significance of $18.9\sigma$. The parameters from thefit to data are in reasonable agreement with those without the cross-channeleffect within the dispersive framework, which indicates that the cross-channeleffect in $\omega\rightarrow\pi^+\pi^-\pi^0$ is not significant.

Dalitz Plot Analysis of the Decay $\omega \rightarrow \pi^{+}\pi^{-}\pi^{0}$