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

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.

Comments: 6 pages