\begin{document}$ {e^+e^-} $\end{document} colliders or the Large Hadron Collider, charmed baryon decays would provide a promising laboratory to test CP symmetry. In this study, we formulate \begin{document}$ {{\Lambda_c^+}}\to\phi p $\end{document} and \begin{document}$ {{\Lambda_c^+}}\to\omega p $\end{document} decays for the measurement of their asymmetry parameters in weak decays at the BESIII or LHCb experiments. The polarization transfer is analyzed in the two processes of \begin{document}$ {e^+e^-}\to\Lambda_c^+\bar\Lambda_c^- $\end{document} and \begin{document}$ \Lambda_b^0\to \Lambda^+_c\pi^- $\end{document}, and the formulas for the joint angular distribution of these processes are provided. The sensitivity of the measurement of the asymmetry parameters of the above two decay processes is estimated for future experiments."> Study of parity violation in <inline-formula><tex-math id="M1">\begin{document}$ {\boldsymbol{\Lambda_c^+} \boldsymbol{\to\phi p}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/6e47d65b-1126-471d-97fd-5ecdb4614183/CPC-2022-0562_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/6e47d65b-1126-471d-97fd-5ecdb4614183/CPC-2022-0562_M1.png"/></alternatives></inline-formula> and <inline-formula><tex-math id="M2">\begin{document}$ {\boldsymbol{\Lambda_c^+} \boldsymbol{\to \omega p}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/6e47d65b-1126-471d-97fd-5ecdb4614183/CPC-2022-0562_M2.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/6e47d65b-1126-471d-97fd-5ecdb4614183/CPC-2022-0562_M2.png"/></alternatives></inline-formula> decays -
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