Study of $e^+e^-\toγϕJ/ψ$ from $\sqrt{s}=4.600$ to $4.951$ GeV
Using data samples with an integrated luminosity of $6.4$~fb$^{-1}$ collected by the BESIII detector operating at the BEPCII storage ring, the process of $e^+e^-\toγϕJ/ψ$ is studied. The processes of $e^+e^-\toϕχ_{c1,c2}$, $χ_{c1,c2}\toγJ/ψ$ are observed with a significance of more than $10σ$. The $\sqrt{s}$-dependent cross section of $e^+e^- \to ϕχ_{c1,c2}$ is measured between 4.600 and 4.951~GeV, and evidence of a resonance structure is found for the first time in the $ϕχ_{c2}$ process. We also search for the processes of $e^+e^-\toγX(4140)$, $γX(4274)$ and $γX(4500)$ via the $γϕJ/ψ$ final state, but no obvious structures are found. The upper limits on the production cross section times the branching fraction for these processes at the 90% confidence level are reported.