Study of e⁺e⁻→ω X(3872) and γ X(3872) from 4.66 to 4.95 GeV

Using data samples with an integrated luminosity of 4.5~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⁻→ω X(3872) and e⁺e⁻→γ X(3872). With the e⁺e⁻→ω X(3872) process, the branching fraction ratio R(X(3872)→γ J/ψ)/B(X(3872)→π⁺π⁻ J/ψ) is measured to be 0.38±0.20ₛtat.±0.01ₛyst. ($R< 0.83$ at 90% confidence level). In addition, we measure the ratio of the average cross section of e⁺e⁻→ω X(3872) to e⁺e⁻→ω χc1(ωχc2) to be σω X(3872)/σ_ωχc1~(σω X(3872)/σ_ωχc2)=5.2±1.0ₛtat.±1.9ₛyst.~ (5.5±1.1ₛtat.±2.4ₛyst.). Finally, we search for the process of e⁺e⁻→γ X(3872), and no obvious signal is observed. The upper limit on the ratio of the average cross section of e⁺e⁻→γ X(3872) to e⁺e⁻→ω X(3872) is set as σγ X(3872)/σω X(3872)<0.23 at 90% confidence level.