$\chi_{c0} \, \omega$ production in $e^+e^-$ annihilation through $\psi(4160)$

TL;DR

This paper explains the BESIII data on $e^+e^- o \, \chi_{c0} \, \omega$ using the $\, \psi(4160)$ resonance, showing its coupling is comparable to similar known transitions and clarifying cross section differences among related final states.

Contribution

It proposes that the $\, \psi(4160)$ resonance accounts for the observed cross section in $e^+e^- \to \chi_{c0} \omega$, providing a unified explanation consistent with known couplings.

Findings

The $\, \psi(4160)$ resonance explains the cross section data.

The coupling strength is comparable to similar transitions.

The mechanism explains the small cross sections for $\, \chi_{c1} \omega$ and $\, \chi_{c2} \omega$.

Abstract

We argue that the recent BESIII data on the cross section for the process $e^+e^- \to \chi_{c0} \, \omega$ in the center of mass energy range 4.21 - 4.42 GeV can be described by the contribution of the known charmonium-like resonance $\psi(4160)$ with the mass of about 4190\,MeV. The value of the coupling in the transition $\psi(4160) \to \chi_{c0} \, \omega$ needed for this mechanism is comparable to that in another known similar transition $\chi_{c0}(2P) \to J/\psi \, \omega$. The suggested mechanism also naturally explains the reported relative small value of the cross section for the final states $\chi_{c1} \, \omega$ and $\chi_{c2} \, \omega$ above their respective thresholds.