Study of $e^{+}{e}^{-}\to \omega X(3872)$ and $\gamma X(3872)$ from 4.66 to 4.95 GeV

Using data samples with an integrated luminosity of $4.5{\text{fb}}^{-1}$ collected by the BESIII detector at center-of-mass energies ranging from 4.66 to 4.95 GeV, we study the processes of $e^{+}{e}^{-}\to \omega X(3872)$ and $e^{+}{e}^{-}\to \gamma X(3872)$. With the $e^{+}{e}^{-}\to \omega X(3872)$ process, the branching fraction ratio $R\equiv \frac{\mathcal{B}(X(3872)\to \gamma J\mathrm{/}\psi )}{\mathcal{B}(X(3872)\to {\pi }^{+}{\pi }^{-}J\mathrm{/}\psi )}$ is measured to be $0.38\pm {0.20}_{\text{stat.}}\pm {0.01}_{\text{syst.}}$ ($R<0.83$ at 90% confidence level). In addition, we measure the ratio of the average cross section of $e^{+}{e}^{-}\to \omega X(3872)$ to $e^{+}{e}^{-}\to \omega {\chi }_{c1}(\omega {\chi }_{c2})$ to be ${\sigma }_{\omega X(3872)}\mathrm{/}{\sigma }_{\omega {\chi }_{c1}}({\sigma }_{\omega X(3872)}\mathrm{/}{\sigma }_{\omega {\chi }_{c2}})=5.2\pm {1.0}_{\text{stat.}}\pm {1.9}_{\text{syst.}}(5.5\pm {1.1}_{\text{stat.}}\pm {2.4}_{\text{syst.}})$. Finally, we search for the process of $e^{+}{e}^{-}\to \gamma X(3872)$, and no obvious signal is observed. The upper limit on the ratio of the average cross section of $e^{+}{e}^{-}\to \gamma X(3872)$ to $e^{+}{e}^{-}\to \omega X(3872)$ is set as ${\sigma }_{\gamma X(3872)}\mathrm{/}{\sigma }_{\omega X(3872)}<0.23$ at 90% confidence level.