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

Abstract

The abundant ${\psi }^{\prime }$ events have been collected at the Beijing Electron Positron Collider-II (BEPCII) that could undoubtedly provide us with a great opportunity to study the more attractive charmonium decays. As has been noticed before, in the process of $J/\psi$ decaying to the baryonic final states, $p{K}^{-}\bar{\Lambda }$, the evident ${\Lambda }^{\ast }$ and $N^{\ast }$ bands have been observed. Similarly, by using the product of ${\chi }_{cJ}$ from ${\psi }^{\prime }$ radiative decay, we may confirm it or find some extra new resonances. ${\chi }_{c0}$'s data samples will be more than ${\chi }_{c1,2}$ taking into account the larger branching ratio of ${\psi }^{\prime }\to \gamma {\chi }_{c0}$. Here, we provide explicit partial wave analysis formulae for the very interesting channel ${\psi }^{\prime }\to \gamma {\chi }_{c0}\to \gamma p{K}^{-}\bar{\Lambda }$.

Comments: 7 pages, 1 figure, version in Chin.Phys.C