论文标题
$σ^0-λ^0 $ in $λ_c^+$衰减的混合效果
Mixing effects of $Σ^0-Λ^0$ in $Λ_c^+$ decays
论文作者
论文摘要
我们根据Baryon Masses分析了$σ^0 $和$λ^0 $之间的混合。我们将贡献与QCD和Baryon质量分裂中的QED区分开。我们发现，$σ^0 $和$λ^0 $之间的混合角度为$（2.07 \ pm 0.03）\ times 10^{ - 2} $，这导致了衰减的分支分数和$λ_c^+ \ toσ^0 e^+ v f to $^+ v n e^0 e^+ν_e$ fo $^to $^to $ cal^to $ cal^to $ cal^0 e+ cal^ever to $λ_c^+ \ for ν_e）=（1.5 \ pm 0.2）\ times 10^{ - 5} $和$α（λ_c^+ \ toσ^0 e^+ν_e）= -0.86 \ pm 0.04 $。此外，我们获得了$δ{\ cal b} \ equiv {\ cal b}（λ_c^+\ toσ^0π^+） - {\ cal b}（λ_c^+\ toσ^+σ+π^0）=（3.8 \ pm 0.5 \ pm 0.5 \ pm 0.5） σ^0π^+）-α（λ_c^+\ toσ^+π^0）=（ - 1.6 \ pm 0.7）\ times10^{ - 2} $，它应该在没有混合的情况下消失。
We analyze the mixing between $Σ^0$ and $Λ^0$ 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 $Σ^0$ and $Λ^0$ is $(2.07\pm 0.03)\times 10^{-2} $, which leads to the decay branching fraction and up-down asymmetry of $Λ_c^+ \to Σ^0 e^+ ν_e$ to be ${\cal B}(Λ_c^+ \to Σ^0 e^+ ν_e)=(1.5\pm 0.2)\times 10^{-5}$ and $α(Λ_c^+ \to Σ^0 e^+ ν_e)=-0.86\pm 0.04$, respectively. Moreover, we obtain that $Δ{\cal B}\equiv {\cal B}(Λ_c^+\to Σ^0 π^+) - {\cal B}(Λ_c^+\to Σ^+π^0)=(3.8\pm 0.5)\times 10^{-4}$ and $Δα\equivα(Λ_c^+\to Σ^0 π^+) -α(Λ_c^+\to Σ^+π^0)=(-1.6\pm 0.7)\times10^{-2}$, which should vanish without the mixing.
