Partial wave analyses of $\psi (3686)\to p\bar{p}{\pi }^0$ and $\psi (3686)\to p\bar{p}\eta$

Using a sample of $(2712\pm 14)\times {10}^6$ $\psi (3686)$ events collected with the BESIII detector, we perform partial wave analyses of the decays $\psi (3686)\to p\bar{p}{\pi }^0$ and $\psi (3686)\to p\bar{p}\eta$. The branching fractions of $\psi (3686)\to p\bar{p}{\pi }^0$ and $\psi (3686)\to p\bar{p}\eta$ are determined to be $(133.9\pm 11.2\pm 2.3)\times {10}^{-6}$ or $(183.7\pm 13.7\pm 3.2)\times {10}^{-6}$ and $(61.5\pm 6.5\pm 1.1)\times {10}^{-6}$ or $(84.4\pm 6.9\pm 1.4)\times {10}^{-6}$, respectively, where the two solutions are caused by an ambiguous phase angle between resonant and continuum processes. Several well-established $N^{\ast }$ states are observed in the $p{\pi }^0$ and $p\eta$ systems, and the corresponding branching fractions are measured. The ratio of decay widths ${\mathrm{\Gamma }}_{N(1535)\to N\eta }\mathrm{/}{\mathrm{\Gamma }}_{N(1535)\to N\pi }$ is determined to be $0.99\pm 0.05\pm 0.19$.