Study of $e^+e^-\toωX(3872)$ and $γX(3872)$ 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 $e^+e^-\toωX(3872)$ and $e^+e^-\toγX(3872)$. With the $e^+e^-\toωX(3872)$ process, the branching fraction ratio $R\equiv\frac{\mathcal{B}(X(3872)\toγJ/ψ)}{\mathcal{B}(X(3872)\toπ^+π^- J/ψ)}$ is measured to be $0.38\pm0.20_\text{stat.}\pm0.01_\text{syst.}$ ($R< 0.83$ at 90\% confidence level). In addition, we measure the ratio of the average cross section of $e^+e^-\toωX(3872)$ to $e^+e^-\toωχ_{c1}(ωχ_{c2})$ to be $σ_{ωX(3872)}/σ_{ωχ_{c1}}~(σ_{ωX(3872)}/σ_{ωχ_{c2}})=5.2\pm1.0_\text{stat.}\pm1.9_\text{syst.}~ (5.5\pm1.1_\text{stat.}\pm2.4_\text{syst.})$. Finally, we search for the process of $e^+e^-\toγX(3872)$, and no obvious signal is observed. The upper limit on the ratio of the average cross section of $e^+e^-\toγX(3872)$ to $e^+e^-\toωX(3872)$ is set as $σ_{γX(3872)}/σ_{ωX(3872)}<0.23$ at 90\% confidence level.