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Based on a sample of $1.31$ billion $J/\psi$ events collected with the BESIIIdetector, we report the study of the doubly radiative decay $\eta^\prime\to\gamma\gamma\pi^0$ for the first time, where the $\eta^\prime$ meson isproduced via the $J/\psi\to \gamma\eta^\prime$ decay. The branching fraction of$\eta^\prime\to \gamma\gamma\pi^0$ inclusive decay is measured to be ${\calB}(\eta^\prime\to \gamma\gamma\pi^0)_{\text{Incl.}}$ =$(3.20\pm0.07\mbox{(stat)}\pm0.23\mbox{(sys)})\times 10^{-3}$, while thebranching fractions of the dominant process$\eta^\prime\rightarrow\gamma\omega$ and the non-resonant component aredetermined to be ${\cal B}(\eta^\prime\to \gamma\omega)\times {\calB}(\omega\to \gamma\pi^0) = (23.7 \pm1.4\mbox{(stat)}\pm1.8\mbox{(sys)})\times10^{-4}$ and ${\cal B}(\eta^\prime\to \gamma\gamma\pi^0)_{\text{NR}} =(6.16\pm0.64\mbox{(stat)} \pm0.67\mbox{(sys)})\times 10^{-4}$, respectively. Inaddition, the $M^2_{\gamma\gamma}$-dependent partial widths of the inclusivedecay are also presented.

Observation of the doubly radiative decay $\eta^{\prime}\to \gamma\gamma\pi^0$