The processes $X(3872)\to D^{*0}{\overline{D}}^0+\mathrm{c}.\mathrm{c}.,\gamma J/\psi ,\gamma \psi (2S)$, and $\gamma D^{+}{D}^{-}$ are searched for in a $9.0{\mathrm{fb}}^{-1}$ data sample collected at center-of-mass energies between 4.178 and 4.278 GeV with the BESIII detector. We observe $X(3872)\to D^{*0}\overline{D^0}+\mathrm{c}.\mathrm{c}.$ and find evidence for $X(3872)\to \gamma J/\psi$ with statistical significances of $7.4\sigma$ and $3.5\sigma$, respectively. No evident signals for $X(3872)\to \gamma \psi (2S)$ and $\gamma D^{+}{D}^{-}$ are found, and the upper limit on the relative branching ratio $R_{\gamma \psi }\equiv \{\mathcal{B}[X(3872)\to \gamma \psi (2S)]\}/\{\mathcal{B}[X(3872)\to \gamma J/\psi ]\}<0.59$ is set at 90% confidence level. Measurements of branching ratios relative to decay $X(3872)\to {\pi }^{+}{\pi }^{-}J/\psi$ are also reported for decays $X(3872)\to D^{*0}\overline{D^0}+\mathrm{c}.\mathrm{c}.,\gamma \psi (2S),\gamma J/\psi$, and $\gamma D^{+}{D}^{-}$, as well as the non-$D^{*0}\overline{D^0}$ three-body decays ${\pi }^0{D}^0\overline{D^0}$ and $\gamma D^0\overline{D^0}$.

• Received 4 January 2020
• Revised 6 April 2020
• Accepted 1 June 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.242001

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Published by the American Physical Society