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

The cross section of the process ${e}^{+}{e}^{-}\to \omega {\chi }_{c0}$ is measured at center-of-mass energies from $\sqrt{s}=4.178$ to 4.278 GeV using a data sample of $7\text{}\text{}{\mathrm{fb}}^{-1}$ collected with the BESIII detector operating at the BEPCII storage ring. The dependence of the cross section on $\sqrt{s}$ shows a resonant structure with mass of $\left(4218.5±1.6\left(\mathrm{stat}\right)±4.0\left(\mathrm{syst}\right)\right)\text{}\text{}\mathrm{MeV}/{c}^{2}$ and width of $\left(28.2±3.9\left(\mathrm{stat}\right)±1.6\left(\mathrm{syst}\right)\right)\text{}\text{}\mathrm{MeV}$, respectively. This observation confirms and improves upon the result of a previous study. The angular distribution of the ${e}^{+}{e}^{-}\to \omega {\chi }_{c0}$ process is extracted for the first time.