Search for vector charmonium(-like) states in $e^{+}{e}^{-}\to \omega {\chi }_{cJ}$

Abstract

The cross sections of $e^{+}{e}^{-}\to \omega {\chi }_{cJ(J=0,1,2)}$ have been measured by BESIII. We try to search for vector charmonium(-like) states $Y(4220)$, $Y(4360)$, $\psi (4415)$ and $Y(4660)$ in the $e^{+}{e}^{-}\to \omega {\chi }_{cJ(J=0,1,2)}$ line shapes. The $\omega {\chi }_{c0}$ mainly comes from $Y(4220)$, $\omega {\chi }_{c1}$ mainly comes from $Y(4660)$ and $\omega {\chi }_{c2}$ mainly comes from $\psi (4415)$, maybe partly comes from $Y(4360)$ or $Y(4660)$. For the charmonium(-like) states that are not significant in the $e^{+}{e}^{-}\to \omega {\chi }_{cJ(J=0,1,2)}$ line shape, we also give the $90\%$ confidence level upper limits on the electron partial width multiplied by branching fraction. These results are helpful to study the nature of charmonium(-like) states in this energy region.