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The abundant $\psi'$ events have been collected at the Beijing ElectronPositron Collider-II (BEPCII) that could undoubtedly provide us with a greatopportunity to study the more attractive charmonium decays. As has been noticedbefore, in the process of $J/\psi$ decaying to the baryonic final states, $pK^- \bar{\Lambda}$, the evident $\Lambda^*$ and $N^*$ bands have been observed.Similarly, by using the product of $\chi_{cJ}$ from $\psi'$ radiative decay, wemay confirm it or find some extra new resonances. $\chi_{c0}$'s data sampleswill be more than $\chi_{c1,2}$ taking into account the larger branching ratioof $\psi'\to\gamma\chi_{c0}$. Here, we provide explicit partial wave analysisformulae for the very interesting channel $\psi'\to\gamma\chi_{c0}\to \gamma pK^- \bar{\Lambda}$.

Partial wave analysis of $\psi'\to\gamma\chi_{c0}\to \gamma p K^- \bar{\Lambda}$ used for searching for baryon resonance