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An investigation about localized CP asymmetries for the processes of$\bar{B}_{s}^{0} \rightarrow \pi^{+}\pi^{-}\pi^{0} (K^{0})$ is presented inthis paper. The innovation of this paper is that there is a consideration ofthree-particle $\rho^0(770)$, $\omega(782)$ and $\phi(1020)$ interferenceseffect. Generally, $\omega(782)$ and $\phi(1020)$ both can decay into $\pi^+\pi ^-$ pair where can cause extremely small contribution from isospinsymmetry breaking. Nevertheless, our analysis shows that $\bar{B}_{s}^{0}\rightarrow \pi ^+\pi ^-\pi^{0}(K^{0})$ decay process can bring differential CPasymmetry about $65\%$ ($36\%$) because of isospin symmetry breaking. To bettercompared with the data from experimental in the future, we integrate CPasymmetry over the invariant mass and obtain localized CP asymmetry value forthe decay $\bar{B}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi^{0} (K^{0})$. We findthat there is an evident signal about CP asymmetry at invariant mass value$m(\pi^{+}\pi^{-})$ below the mass of $\rho(770)^{0}$ with the decay$\bar{B}_{s}^{0} \rightarrow \pi ^+\pi^{-}\pi^{0}$.

Analysis of localized CP asymmetry in $\bar{B}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi^{0}(K^{0})$