Search for vector charmonium(-like) states in $e^+e^- rightarrow omegachi_{cJ}$

The cross sections of $e^+e^- rightarrow omegachi_{cJ(J=0,1,2)}$ 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 $e^+e^- rightarrow omegachi_{cJ(J=0,1,2)}$ line shapes. The $omegachi_{c0}$ mainly comes from $Y(4220)$, $omegachi_{c1}$ mainly comes from $Y(4660)$ and $omegachi_{c2}$ 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 $e^+e^- rightarrow omegachi_{cJ(J=0,1,2)}$ 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.