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Based on a sample of $448.1\times10^6\ \psi(3686)$ events collected with theBESIII detector, a study of $\psi(3686)\to\Lambda\bar{\Lambda}\pi^0$ and$\psi(3686)\to\Lambda\bar{\Lambda}\eta$ is performed. Evidence of theisospin-violating decay $\psi(3686)\to\Lambda\bar{\Lambda}\pi^0$ is found forthe first time with a statistical significance of $3.7\sigma$, the branchingfraction $\mathcal{B}(\psi(3686)\to\Lambda\bar{\Lambda}\pi^0)$ is measured tobe $(1.42\pm0.39\pm0.59)\times10^{-6}$, and its corresponding upper limit isdetermined to be $2.47\times10^{-6}$ at 90\% confidence level. A partial waveanalysis of $\psi(3686)\to\Lambda\bar{\Lambda}\eta$ shows that the peak around$\Lambda\eta$ invariant mass threshold favors a $\Lambda^*$ resonance with massand width in agreement with the $\Lambda(1670)$. The branching fraction of the$\psi(3686)\to\Lambda\bar{\Lambda}\eta$ is measured to be$(2.34\pm0.18\pm0.52)\times10^{-5}$. The first uncertainties are statisticaland the second are systematic.

Measurement of $\psi(3686)\to\Lambda\bar{\Lambda}\eta$ and $\psi(3686)\to\Lambda\bar{\Lambda}\pi^0$ decays