Two-body Wave Functions, Compositeness, And The Internal Structure Of Dynamically Generated Resonances
Two-body Wave Functions, Compositeness, And The Internal Structure Of Dynamically Generated Resonances
复制标题
DOI：
10.22323/1.281.0289
复制
发表时间：
2017-03
期刊：
影响因子：
--
通讯作者：
T. Sekihara;T. Hyodo;D. Jido;J. Yamagata-sekihara;S. Yasui
中科院分区：
文献类型：
--
作者：
T. Sekihara;T. Hyodo;D. Jido;J. Yamagata-sekihara;S. Yasui
最近，作为束缚态和共振态的二体波函数范数的复合性被研究，以强子分子分量的形式讨论强子的内部结构。通过对这种复合性的研究，阐明了束缚态的二体波函数可以从束缚态极点的散射振幅的残差中提取出来。特别值得注意的是，来自散射幅度的二体波函数被自动归一化。特别是，虽然合成度对于能量无关的相互作用是统一的，但对于能量依赖的相互作用，它偏离了一致性，这可以被解释为缺失通道的贡献。在这篇手稿中，我们给出了从散射幅度出发的二体波函数的公式，评估了几个动态产生的共振如$f_{0}(980)$，$\Lambda(1405)$和$\xi(1690)$的合成，并从强子分子成分的角度研究了它们的内部结构。
Recently, the compositeness, defined as the norm of a two-body wave function for bound and resonance states, has been investigated to discuss the internal structure of hadrons in terms of hadronic molecular components. From the studies of the compositeness, it has been clarified that the two-body wave function of a bound state can be extracted from the residue of the scattering amplitude at the bound state pole. Of special interest is that the two-body wave function from the scattering amplitude is automatically normalized. In particular, while the compositeness is unity for energy-independent interactions, it deviates from unity for energy-dependent interactions, which can be interpreted as a missing-channel contribution. In this manuscript, we show the formulation of the two-body wave function from the scattering amplitude, evaluate the compositeness for several dynamically generated resonances such as $f_{0} (980)$, $\Lambda (1405)$, and $\Xi (1690)$, and investigate their internal structure in terms of the hadronic molecular components.