Partial wave analysis of $ψ(3686)\toΛ\barΣ^0π^0+c.c.$
Based on a sample of $(2712.4\pm14.3)\times10^6\;ψ(3686)$ events collected with the BESIII detector, a partial wave analysis of the decay $ψ(3686)\toΛ\barΣ^0π^0+c.c.$ is performed to investigate $Λ^*$ and $Σ^*$ resonances in the $π^0\barΣ^0$ and $π^0Λ$ invariant mass distributions. Significant contributions are found from the $Λ(1405)$, $Λ(1520)$, $Λ(1600)$, $Λ(1670)$, $Λ(1690)$, $Λ(1800)$, $Λ(1890)$, $Λ(2325)$, $Σ(1385)$, $Σ(1660)$, $Σ(1670)$, $Σ(1750)$, and $Σ(1910)$. The masses, widths, and production branching fractions for each component are determined. In addition, the branching fraction of $ψ(3686)\toΛ\barΣ^0π^0+c.c.$ is measured to be $(1.544\pm0.013\pm0.069)\times10^{-4}$ for the first time, where the first uncertainty is statistical and the second systematic.