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

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 $e^+e^- \rightarrow \omega\chi_{cJ(J=0,1,2)}$lineshapes\mathrm{.}The$\omega\chi_{c0}$mainlycomesfrom$Y(4220)$,$\omega\chi_{c1}$mainlycomesfrom$Y(4660)$and$\omega\chi_{c2}$mainlycomesfrom$\psi(4415)$,maybepartlycomesfrom$Y(4360)$or$Y(4660)$. For the charmonium(-like) states that are not significant in the $e^+e^- \rightarrow \omega\chi_{cJ(J=0,1,2)}$lineshape,wealsogivethe$90%$ 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.