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The cross section of the process $e^+e^- \rightarrow \omega \chi_{c0}$ ismeasured at center-of-mass energies from $\sqrt{s} =$ 4.178 to 4.278 GeV usinga data sample of 7 fb$^{-1}$ collected with the BESIII detector operating atthe BEPCII storage ring. The dependence of the cross section on $\sqrt{s}$shows a resonant structure with mass of$(4218.5\pm1.6(\text{stat.})\pm4.0(\text{syst.}))$ MeV/$c^2$ and width of$(28.2\pm3.9(\text{stat.})\pm1.6(\text{syst.}))$ MeV, respectively. Thisobservation confirms and improves upon the result of a previous study. Theangular distribution of the $e^+e^- \rightarrow \omega \chi_{c0}$ process isextracted for the first time.

Cross section measurements of $e^+ e^-\to\omega\chi_{c0}$ from $\sqrt{s}=$4.178 to 4.278 GeV