\begin{document}$ CP $\end{document} violation and the branching fraction of the four-body decay \begin{document}$ \bar{B}^0\rightarrow K^-\pi^+\pi^-\pi^+ $\end{document} by employing a quasi-two-body QCD factorization approach. Considering the interference of \begin{document}$ \bar{B}^0\rightarrow \bar{K}_0^*(700)\rho^0(770)\rightarrow K^-\pi^+\pi^-\pi^+ $\end{document} and \begin{document}$ \bar{B}^0\rightarrow \bar{K}^*(892)f_0(500)\rightarrow K^-\pi^+\pi^-\pi^+ $\end{document} channels, we predict \begin{document}$ \mathcal{A_{CP}}(\bar{B}^0\rightarrow K^-\pi^+\pi^-\pi^+)\in [0.15,0.28] $\end{document} and \begin{document}$ {\cal{B}}(\bar{B}^0\rightarrow K^-\pi^+\pi^-\pi^+)\in[1.73,5.10]\times10^{-7} $\end{document}, respectively, which shows that the interference mechanism of these two channels can induce the localized \begin{document}$ CP $\end{document} violation to this four-body decay. Meanwhile, within the two quark model framework for the scalar mesons \begin{document}$ f_0(500) $\end{document} and \begin{document}$ \bar{K}_0^*(700) $\end{document}, we calculate the direct CP violations and branching fractions of the \begin{document}$ \bar{B}^0\rightarrow \bar{K}_0^*(700)\rho^0(770) $\end{document} and \begin{document}$ \bar{B}^0\rightarrow \bar{K}^*(892)f_0(500) $\end{document} decays, respectively. The corresponding results are \begin{document}$ \mathcal{A_{CP}}(\bar{B}^0\rightarrow \bar{K}_0^*(700)\rho^0(770)) \in [0.20, 0.36] $\end{document}, \begin{document}$ \mathcal{A_{CP}}(\bar{B}^0\rightarrow \bar{K}^*(892)f_0(500))\in [0.08, 0.12] $\end{document}, \begin{document}${\cal{B}} (\bar{B}^0\rightarrow \bar{K}_0^*(700) \rho^0(770)\in [6.76, 18.93]\times10^{-8}$\end{document} and \begin{document}$ {\cal{B}} (\bar{B}^0\rightarrow \bar{K}^*(892)f_0(500))\in [2.66, 4.80]\times10^{-6} $\end{document}, indicating that the \begin{document}$ CP $\end{document} violations of these two-body decays are both positive and the branching fractions quite different. These studies provide a new way to investigate the aforementioned four-body decay and can be helpful in clarifying the configuration of the structure of the light scalar meson."> Studying the localized <i>CP</i> violation and the branching fraction of the <inline-formula><tex-math id="M1-1">\begin{document}${\bar{B}^0\rightarrow K^-\pi^+\pi^+\pi^-}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/8916014c-e365-4ee6-8741-8eaf2f92e561/CPC-2020-0214_M1-1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/8916014c-e365-4ee6-8741-8eaf2f92e561/CPC-2020-0214_M1-1.png"/></alternatives></inline-formula> decay -
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