论文标题
$η（1405/1475）$的三体统一耦合通道分析$
Three-Body Unitary Coupled-Channel Analysis on $η(1405/1475)$
论文作者
论文摘要
最近在$ j/ψ\toγ（k_sk_sπ^0）$上的BESIII数据，该数据比以前无法实现的水平上的$η（1405/1475）$的$η（1405/1475）$ - 相关数据更为精确。 We conduct a three-body unitary coupled-channel analysis of experimental Monte-Carlo outputs for radiative $J/ψ$ decays via $η(1405/1475)$: $K_SK_Sπ^0$ Dalitz plot distributions from the BESIII, and branching ratios of $γ(ηπ^+π^-)$ and $γ(γπ^+π^-)$ final状态相对于$γ（k \ bar {k}π）$的状态。我们的模型有系统地考虑（多）环图和相关的三角形奇异性，这对于对$η（1405/1475）\ toπππ$ lineshapes和分支比率进行出色的预测至关重要。 $η（1405/1475）$ pole位置首次揭示。在$ k^*\ bar {k} $ channel的不同riemann纸上找到了两个$η（1405）$的杆子，而一个pole in $η（1475）$。 $η（1405/1475）$州被描述为两个由连续体州打扮的裸露状态。较低的裸露状态将是一个激动的$η^\ prime $，而较高的$ hount $η^{（\ prime）} $，混合，粘合球或它们的混合物。这项工作介绍了有史以来的第一个极点确定，基于明显的三体统一耦合通道框架，该框架应用于实验三体最终状态分布（达利兹图）。
The recent BESIII data on $J/ψ\toγ(K_SK_Sπ^0)$, which is significantly more precise than earlier $η(1405/1475)$-related data, enables quantitative discussions on $η(1405/1475)$ at the previously unreachable level. We conduct a three-body unitary coupled-channel analysis of experimental Monte-Carlo outputs for radiative $J/ψ$ decays via $η(1405/1475)$: $K_SK_Sπ^0$ Dalitz plot distributions from the BESIII, and branching ratios of $γ(ηπ^+π^-)$ and $γ(γπ^+π^-)$ final states relative to that of $γ(K\bar{K}π)$. Our model systematically considers (multi-)loop diagrams and an associated triangle singularity, which is critical in making excellent predictions on $η(1405/1475)\to πππ$ lineshapes and branching ratios. The $η(1405/1475)$ pole locations are revealed for the first time. Two poles for $η(1405)$ are found on different Riemann sheets of the $K^*\bar{K}$ channel, while one pole for $η(1475)$. The $η(1405/1475)$ states are described with two bare states dressed by continuum states. The lower bare state would be an excited $η^\prime$, while the higher one could be an excited $η^{(\prime)}$, hybrid, glueball, or their mixture. This work presents the first-ever pole determination based on a manifestly three-body unitary coupled-channel framework applied to experimental three-body final state distributions (Dalitz plots).
