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We analyze the mixing between $\Sigma^0$ and $\Lambda^0$ based on the baryonmasses. We distinguish the contributions from QCD and QED in the baryon masssplittings. We find that the mixing angle between $\Sigma^0$ and $\Lambda^0$ is$(2.07\pm 0.03)\times 10^{-2} $, which leads to the decay branching fractionand up-down asymmetry of $\Lambda_c^+ \to \Sigma^0 e^+ \nu_e$ to be ${\calB}(\Lambda_c^+ \to \Sigma^0 e^+ \nu_e)=(1.5\pm 0.2)\times 10^{-5}$ and$\alpha(\Lambda_c^+ \to \Sigma^0 e^+ \nu_e)=-0.86\pm 0.04$, respectively.Moreover, we obtain that $\Delta {\cal B}\equiv {\cal B}(\Lambda_c^+\to\Sigma^0 \pi^+) - {\cal B}(\Lambda_c^+\to \Sigma^+\pi^0)=(3.8\pm 0.5)\times10^{-4}$ and $\Delta \alpha \equiv\alpha(\Lambda_c^+\to \Sigma^0 \pi^+)-\alpha(\Lambda_c^+\to \Sigma^+\pi^0)=(-1.6\pm 0.7)\times10^{-2}$, which shouldvanish without the mixing.

Mixing effects of $\Sigma^0-\Lambda^0$ in $\Lambda_c^+$ decays