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Measurement of $\mathcal B(ψ(3770)\toγχ_{c1})$ and search for $ψ(3770)\toγχ_{c2}$

We report a measurement of the branching fraction of $ψ(3770)\toγχ_{c1}$ and search for the transition $ψ(3770)\rightarrow γχ_{c2}$ based on 2.92~fb$^{-1}$ of $e^+e^-$ data accumulated at $\sqrt{s}=3.773$~GeV with the BESIII detector at the BEPCII collider. The measured branching fraction of $ψ(3770) \rightarrow γχ_{c1}$ is $\mathcal B(ψ(3770) \rightarrow γχ_{c1})=(2.48 \pm 0.15 \pm 0.23) \times 10^{-3}$, which is the most precise measurement to date. The upper limit on the branching fraction of $ψ(3770)\rightarrow γχ_{c2}$ at a $90\%$ confidence level is $\mathcal B(ψ(3770) \rightarrow γχ_{c2})<0.64 \times 10^{-3}$. The corresponding partial widths are $Γ(ψ(3770) \to γχ_{c1}) =(67.5\pm 4.1\pm 6.7)$~keV and $Γ(ψ(3770) \to γχ_{c2}) < 17.4$~keV.