论文标题
从拓扑振幅到双重迷人的巴里昂衰变的撤销动态
From topological amplitude to rescattering dynamics in doubly charmed baryon decays
论文作者
论文摘要
LHCB合作在2017年观察到了双重迷人的Baryon $ξ^{++} _ {cc} $。在脱工机制的框架中预测了两人双重倍加dubly Charmed Baryon衰变的分支分数，一些$ su（3）$ su（3）_f $ uperty su（3）。在这项工作中，我们研究了夸克级别的拓扑图与在双重诱人的Baryon衰减中的强子级别撤离三角图之间的相关性。我们的框架的完整性是从以下事实中证实的：介子图和三角图（拓扑散布图）之间的所有十二个可能的介子散射结构一次出现在拓扑图和三角图之间的中间形式。发现从拓扑图中得出的三角图与直接从手性拉格朗日衍生的图一致。 $ c $，$ c^\ prime $，$ e $，$ e^\ prime $，$ p $，$ p $和$ p^\ prime $ $ $图的相对贡献的相对大小与从$ su（3）_f $对称性提取的$ p^\ prime $图表与文献中的数值分析一致。服用$蒜图。
The doubly charmed baryon $Ξ^{++}_{cc}$ was observed by LHCb cooperation in 2017. The branching fractions of two-body doubly charmed baryon decays were predicted in the framework of rescattering mechanism, and some $SU(3)_F$ relations were investigated in the topological amplitudes. In this work, we study the correlation between topological diagram at quark level and rescattering triangle diagram at hadron level in the doubly charmed baryon decay. The completeness of our framework is confirmed from the fact that all the twelve possible structures of meson-baryon scattering appear once each in the the intermediate form between topological diagram and triangle diagram, topological-scattering diagram. It is found the triangle diagrams derived from the topological diagrams are consistent with the ones derived directly from the chiral Lagrangian. The relative magnitudes of rescattering contributions in the $C$, $C^\prime$, $E$, $E^\prime$, $P$ and $P^\prime$ diagrams extracted from $SU(3)_F$ symmetry are consistent with the numerical analysis in literature. Taking $Ξ^{++}_{cc}\to Ξ^+_cπ^+$, $Ξ^{+}_{cc}\to Ξ^0_cπ^+$ and $Ξ^{+}_{cc}\to Ξ^+_cπ^0$ modes as examples, we show the isospin relation is satisfied in terms of triangle diagrams.
