Based on a sample of (2712.4±14.3)×10⁶\;ψ(3686) events collected with the BESIII detector, a partial wave analysis of the decay ψ(3686)→ΛΣ⁰π⁰+c.c. is performed to investigate Λ^* and Σ^* resonances in the π⁰Σ̄⁰ and π⁰Λ 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)→ΛΣ⁰π⁰+c.c. is measured to be (1.544±0.013±0.069)×10⁻⁴ for the first time, where the first uncertainty is statistical and the second systematic.
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