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We observe the process $\psi(3686) \to p \bar{p} \eta^{\prime}$ for the firsttime, with a statistical significance higher than 10$\sigma$, and measure thebranching fraction of $J/\psi \to p \bar{p} \eta^{\prime}$ with an improvedaccuracy compared to earlier studies. The measurements are based on $4.48\times 10^8$ $\psi(3686)$ and $1.31 \times 10^{9}$ $J/\psi$ events collected bythe BESIII detector operating at the BEPCII. The branching fractions aredetermined to be $B(\psi(3686) \to p \bar{p} \eta^{\prime}) =(1.10\pm0.10\pm0.08)\times10^{-5}$ and $B(J/\psi \to p \bar{p}\eta^{\prime})=(1.26\pm0.02\pm 0.07)\times10^{-4}$, where the firstuncertainties are statistical and the second ones systematic. Additionally, the$\eta-\eta^{\prime}$ mixing angle is determined to be $-24^{\circ} \pm11^{\circ}$ based on $\psi(3686) \to p \bar{p} \eta^{\prime}$, and $-24^{\circ}\pm 9^{\circ}$ based on $J/\psi \to p \bar{p} \eta^{\prime}$, respectively.

Observation of $\psi(3686) \to p \bar{p} \eta^{\prime}$ and improved measurement of $J/\psi \to p \bar{p} \eta^{\prime}$