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

We observe the process $ψ(3686) \to p \bar{p} η^{\prime}$ for the first time, with a statistical significance higher than 10$σ$, and measure the branching fraction of $J/ψ\to p \bar{p} η^{\prime}$ with an improved accuracy compared to earlier studies. The measurements are based on $4.48 \times 10^8$ $ψ(3686)$ and $1.31 \times 10^{9}$ $J/ψ$ events collected by the BESIII detector operating at the BEPCII. The branching fractions are determined to be $B(ψ(3686) \to p \bar{p} η^{\prime}) = (1.10\pm0.10\pm0.08)\times10^{-5}$ and $B(J/ψ\to p \bar{p} η^{\prime})=(1.26\pm0.02\pm 0.07)\times10^{-4}$, where the first uncertainties are statistical and the second ones systematic. Additionally, the $η-η^{\prime}$ mixing angle is determined to be $-24^{\circ} \pm 11^{\circ}$ based on $ψ(3686) \to p \bar{p} η^{\prime}$, and $-24^{\circ} \pm 9^{\circ}$ based on $J/ψ\to p \bar{p} η^{\prime}$, respectively.