标题： 浅束缚态的复合性和波函数与散射观测量的关系 显示英文标题

标题： Compositness and wave function of shallow bound states in relation with scattering observables

摘要： 我们研究了奇特强子的内部结构，特别关注组分性和物理可观测量之间的关系。 组分性被定义为在波函数中发现强子分子组分的概率，它作为奇特强子内部结构的定量度量。 我们利用耦合道势模型，该模型同时考虑夸克和强子自由度，这种模型自然地生成由夸克道束缚态描述的基本组分 $\textit{bare state}$。 通过使用 $X(3872)$ 为例，研究了模型参数变化时组分性的行为。 特别是，我们分析了相关的散射相移和束缚态波函数，以讨论浅束缚态下组分性与散射可观测量之间的关系。 显示英文摘要

摘要： We study the internal structure of exotic hadrons, especially focusing on the relation between the compositeness and physical observables. Defined as the probability of finding hadronic molecular components in the wave function, compositeness serves as a quantitative measure of internal structure of exotic hadrons. We utilize the coupled-channel potential model incorporating both quark and hadron degrees of freedom, which naturally generate the $\textit{bare state}$ responsible for the elementary component as the bound state in the quark channel. The behavior of the compositeness under the variation of the model parameters is investigated by using the $X(3872)$ as an example. In particular, we analyze the associated scattering phase shifts and the bound state wave functions to discuss the relation between the compositeness and the scattering observables for a shallow bound state.