\begin{document}$N\pi\to N\pi$\end{document} or \begin{document}$N\pi\pi$\end{document}. Benefited by the fruitful data of \begin{document}$N\pi$\end{document} scatterings, we can model-independently analyse the strong phases of \begin{document}$b$\end{document}-baryon decays using the partial wave amplitudes of \begin{document}$N\pi$\end{document} scatterings. Avoiding the most difficult problem of non-perturbative dynamics, it makes a great advantage to predict the CPV of baryon decays with a relatively reliable understanding of the decay dynamics. We study the processes of \begin{document}$\Lambda_b^0\to (p\pi^+\pi^-)h^-$\end{document} and \begin{document}$(p\pi^0)h^-$\end{document} with \begin{document}$h=\pi$\end{document} or \begin{document}$K$\end{document}. It is found that the global CPV of the above processes in the invariant mass regions of \begin{document}$N\pi$\end{document} scatterings are at the order of several percent. More importantly, the local CPV in some regions of the Dalitz plots can reach the order of 10%, or be even larger. Considering the predicted results and the experimental data samples, we strong suggest to measure the CPV of \begin{document}$\Lambda_b^0\to (p\pi^+\pi^-)K^-$\end{document}, which has a large possibility to achieve the first observation of CPV in the baryon system."> CP violation of baryon decays with <i>N</i><i>π</i> rescatterings -
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