Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixing effects of $\Sigma^0-\Lambda^0$ in $\Lambda_c^+$ decays   We analyze the mixing between $\Sigma^0$ and $\Lambda^0$ based on the baryon
masses. We distinguish the contributions from QCD and QED in the baryon mass
splittings. 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 fraction
and up-down asymmetry of $\Lambda_c^+ \to \Sigma^0 e^+ \nu_e$ to be ${\cal
B}(\Lambda_c^+ \to \Sigma^0 e^+ \nu_e)=(1.5\pm 0.2)\times 10^{-5}$ and
$\alpha(\Lambda_c^+ \to \Sigma^0 e^+ \nu_e)=-0.86\pm 0.04$, respectively.
Moreover, we obtain that $\Delta {\cal B}\equiv {\cal B}(\Lambda_c^+\to
\Sigma^0 \pi^+) - {\cal B}(\Lambda_c^+\to \Sigma^+\pi^0)=(3.8\pm 0.5)\times
10^{-4}$ 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 should
vanish without the mixing.

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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin