论文标题
在$ξ_c^0 \ toξ^-e^+ν_e$中解决拼图与$ξ_c-ξ_c'$混合
Resolving puzzle in $Ξ_c^0\to Ξ^-e^+ν_e$ with $Ξ_c-Ξ_c'$ mixing
论文作者
论文摘要
我们研究$ r = 2γ（ξ_c^0 \至ξ^-e^+ v+ v+ v+ v+ν_e）/3γ（λ_c^+ \toλe^+ν_e）$的比率，被认为是$ r = 1（0.8）$，从确切的（损坏）$ su（3）$ symmetry $ pm contrast $ p pm y $ r = 0的比率。爱丽丝合作和晶格QCD结果。我们建议使用$ξ_c-ξ_c'$的混合来解决难题。与模型无关的质量关系，我们发现混合角为$ |θ_c| = 0.137（5）π$，它抑制了$ξ_c\ toξe^+ν_e$ boug $ 20 \％$独立于模型，导致$ r \ \ \ su（3）$ subly Breaking Breaking效果约为0.6 $。我们明确地证明了$ r = 0.70 \ pm 0.09 $，这也与$ r_ {av} $一致。要测试混合机制，我们建议实验以测量$ξ_c\ toξ'（1530）e^+ν_e$的衰减，其分支分数确定为$（4.4 \ sim 8.7）\ times 10^{ - 3} $ and $（1.3 \ sim 2.6）混合。此外，$ {\ cal b}的非呈现值（ξ_c^+\ toξ^{\ prime 0}（1530）π^+）$和$ {\ cal b}（ξ_c^+\ toσ^=σ^{\ prime+}（1530）（1530）（1530）\ overline {K k}^0）定理，计算为$（3.8 \ sim 7.5）\ times 10 ^{ - 3} $和$（6.6 \ sim 13）\ times 10 ^{ - 4} $。我们强调，$θ_c$是很可观的，应该在对重型Baryon系统的未来研究中得到认真的考虑。
We study the ratio of $R=2 Γ(Ξ_c^0 \to Ξ^- e^+ ν_e )/3Γ(Λ_c^+ \to Λe^+ ν_e )$, which is found to be $R= 1 (0.8)$ from the exact (broken) $SU(3)$ flavor symmetry, in sharp contrast to the average value of $R_{av}=0.59\pm 0.10 $ from the ALICE collaboration and lattice QCD results. We propose to use the mixing of $Ξ_c-Ξ_c'$ to resolve the puzzle. With the model-independent mass relations, we find that the mixing angle is $|θ_c| = 0.137(5)π$, which suppresses $Ξ_c\to Ξe^+ ν_e$ about $20\%$ model-independently, resulting in $R\approx 0.6$ with the $SU(3)$ flavor breaking effect. We explicitly demonstrate that $R= 0.70 \pm 0.09$ from the bag model, which is also consistent with $R_{av}$. To test the mixing mechanism, we recommend the experiments to measure the decays of $Ξ_c \to Ξ'(1530) e^+ ν_e$, whose branching fractions are determined to be $ ( 4.4\sim 8.7)\times 10^{-3}$ and $(1.3\sim 2.6 )\%$ for $Ξ_c^0$ and $Ξ_c^+$, respectively, but vanish without the mixing. In addition, nonvanishing values of ${\cal B}(Ξ_c^+\to Ξ^{\prime 0} (1530)π^+ )$ and ${\cal B}(Ξ_c^+\to Σ^{\prime +} (1530) \overline{K}^0 )$ will also be evidences of the mixing based on the Köner-Pati-Woo theorem, which are calculated as $(3.8\sim 7.5)\times 10^{-3}$ and $(6.6\sim 13)\times 10 ^{-4}$, respectively. We emphasize that $θ_c$ is sizable and should be given serious considerations in future studies on the heavy baryon systems.
