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

TL;DR

This paper develops partial wave analysis methods for the decay process $oldsymbol{\psi' ooldsymbol{\gammaoldsymbol{\chi_{c0}}} o oldsymbol{\gamma p K^- ar{oldsymbol{\Lambda}}}$, aiming to identify baryon resonances using data from BEPCII.

Contribution

It provides explicit partial wave analysis formulas for the decay channel, facilitating the search for baryon resonances in charmonium decays.

Findings

Formulated detailed partial wave analysis equations.

Enhanced methods for identifying baryon resonances.

Prepared groundwork for experimental analysis at BEPCII.

Abstract

The abundant $\psi'$ 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 $\Lambda^*$ and $N^*$ bands have been observed. Similarly, by using the product of $\chi_{cJ}$ from $\psi'$ 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 $\psi'\to\gamma\chi_{c0}$. Here, we provide explicit partial wave analysis formulae for the very interesting channel $\psi'\to\gamma\chi_{c0}\to \gamma p K^- \bar{\Lambda}$.