Partial wave analyses of $ψ(3686)\to p\bar{p}π^0$ and $ψ(3686)\to p\bar{p}η$
Using a sample of $(2712\pm14)\times10^6$ $ψ(3686)$ events collected with the BESIII detector, we perform partial wave analyses of the decays $ψ(3686)\to p\bar{p}π^0$ and $ψ(3686)\to p\bar{p}η$. The branching fractions of $ψ(3686)\to p\bar{p}π^0$ and $ψ(3686)\to p\bar{p}η$ are determined to be $(133.9\pm11.2\pm2.3)\times10^{-6}$ or $(183.7\pm13.7\pm3.2)\times10^{-6}$ and $(61.5\pm6.5\pm1.1)\times10^{-6}$ or $(84.4\pm6.9\pm1.4)\times10^{-6}$, respectively, where the two solutions are caused by an ambiguous phase angle between resonant and continuum processes. Several well-established $N^*$ states are observed in the $pπ^0$ and $pη$ systems, and the corresponding branching fractions are measured. The ratio of decay widths $Γ_{N(1535)\to Nη}/Γ_{N(1535)\to Nπ}$ is determined to be $0.99\pm0.05\pm0.19$.