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arXiv 1906.08413hep-ph
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超子半轻子和二体非轻子衰变中SU（3）味对称性的检验

Testing SU(3) Flavor Symmetry in Semileptonic and Two-body Nonleptonic Decays of Hyperons

Ru-Min Wang, Mao-Zhi Yang, Hai-Bo Li, Xiao-Dong Cheng

备注：
23 pages, 4 figures
发表信息：
Phys. Rev. D 100, 076008 (2019)
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摘要：

本文在SU（3）味对称性下研究了由轻$u,d,s$夸克组成的轻重子八重态（$T_8$）和轻重子十重态（$T_{10}$）的半轻子衰变和两体非轻子衰变。我们利用SU（3）不可约表示方法得到了不同衰变模之间的振幅关系，并在$1 σ$误差范围内利用现有的实验数据预测了相应的分支比.我们发现，除了$\mathcal{B}(Ξ\rightarrow Λ^0π)$和$\mathcal{B}(Ξ^*\rightarrow Ξπ)$外，所有分支比的预言都与现有的实验数据符合得很好，这意味着在$Ξ\rightarrow Λ^0π$和$Ξ^*\rightarrow Ξπ$弱衰变中，被忽略的$C_+$项或SU（3）破缺效应的贡献可能只有几个百分点.我们预测了$\mathcal{B}(Ξ^{-}\rightarrow Σ^0μ^-\barν_μ)=(1.13\pm0.08)\times10^{-6}$、$\mathcal{B}(Ξ^{-}\rightarrowΛ^0μ^-\barν_μ)=(1.58\pm0.04)\times10^{-4}$、$\mathcal{B}(Ω^-\rightarrowΞ^0μ^-\barν_μ)=(3.7\pm1.8)\times10^{-3}$、$\mathcal{B}(Σ^-\rightarrow Σ^0e^-\barν_e)=(1.35\pm0.28)\times10^{-10}$、$\mathcal{B}(Ξ^-\rightarrow Ξ^0e^-\barν_e)=(4.2\pm2.4)\times10^{-10}$。我们还研究$T_{10}\to T_8 P_8$弱，电磁或强衰变。在不久的将来，BESIII，LHCb和其他实验可能会观察到其中的一些衰变模式。由于$Σ^0$、$Ξ^{*0,-}$、$Σ^{*0,-}$和$Δ^{0,-}$的寿命非常小，这些重子弱衰变的分支比仅在（$\mathcal{O}(10^{-20}-10^{-13}$）数量级，这太小了，目前的实验无法达到。此外，还给出了$T_{8A} \to T_{8B} \ell^- \barν_\ell~(\ell=μ,e)$衰变的纵向分支比。

英文摘要：

The semileptonic decays and two-body nonleptonic decays of light baryon octet ($T_8$) and decuplet ($T_{10}$) consisting of light $u,d,s$ quarks are studied with the SU(3) flavor symmetry in this work. We obtain the amplitude relations between different decay modes by the SU(3) irreducible representation approach, and then predict relevant branching ratios by present experimental data within $1 σ$ error. We find that the predictions for all branching ratios except $\mathcal{B}(Ξ\rightarrow Λ^0π)$ and $\mathcal{B}(Ξ^*\rightarrow Ξπ)$ are in good agreement with present experimental data, that implies the neglected $C_+$ terms or SU(3) breaking effects might contribute at the order of a few percent in $Ξ\rightarrow Λ^0π$ and $Ξ^*\rightarrow Ξπ$ weak decays. We predict that $\mathcal{B}(Ξ^{-}\rightarrow Σ^0μ^-\barν_μ)=(1.13\pm0.08)\times10^{-6}$, $\mathcal{B}(Ξ^{-}\rightarrowΛ^0μ^-\barν_μ)=(1.58\pm0.04)\times10^{-4}$, $\mathcal{B}(Ω^-\rightarrowΞ^0μ^-\barν_μ)=(3.7\pm1.8)\times10^{-3}$, $\mathcal{B}(Σ^-\rightarrow Σ^0e^-\barν_e)=(1.35\pm0.28)\times10^{-10}$, $\mathcal{B}(Ξ^-\rightarrow Ξ^0e^-\barν_e)=(4.2\pm2.4)\times10^{-10}$. We also study $T_{10}\to T_8 P_8$ weak, electromagnetic or strong decays. Some of these decay modes could be observed by the BESIII, LHCb and other experiments in the near future. Due to the very small life times of $Σ^0$, $Ξ^{*0,-}$, $Σ^{*0,-}$ and $Δ^{0,-}$, the branching ratios of these baryon weak decays are only at the order of $\mathcal{O}(10^{-20}-10^{-13}$), which are too small to be reached by current experiments. Furthermore, the longitudinal branching ratios of $T_{8A} \to T_{8B} \ell^- \barν_\ell~(\ell=μ,e)$ decays are also given.

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