标题： 混合模型中的隐粲四夸克：含$c\bar{c}$和强子分子组分的耦合道分析 显示英文标题

标题： Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components

摘要： 自 2003 年$X(3872)$首次被观测到以来，$X(3872)$及其他异乎寻常的强子的性质一直是广泛研究的主题。尽管提出了各种理论模型，包括强子分子和紧致四夸克态解释，但一些实验证据表明，$X(3872)$可能是强子分子和$c\bar{c}$核心的混合态。 在这项工作中，我们使用一个耦合通道模型系统地研究了隐粲四夸克态候选者$X(3860)$、$X(3872)$和$Z(3930)$，该模型同时包含了$c\bar{c}$态和$D^{(*)}\bar{D}^{(*)}$手征分子组分。 基于构成夸克模型对$\chi_{cJ}(2P)$($J = 0, 1, 2$) 态的预测描述了$c\bar{c}$扇区，而介子-介子相互作用则使用赝标量和矢量介子交换势建模。固定模型参数以重现$X(3872)$和$Z(3930)$的质量，并利用由此产生的框架来预测与$X(3860)$相关的$J^{PC} = 0^{++}$态的质量和结构。 我们的研究结果支持这些奇特强子的混合物解释，显示出从$c\bar{c}$和$D^{(*)}\bar{D}^{(*)}$组件之间的跃迁势能有强烈的吸引作用。 分子成分在$X(3872)$中占主导地位，而$c\bar{c}$成分在$X(3860)$和$Z(3930)$中发挥了更为突出的作用。 显示英文摘要

摘要： The nature of the $X(3872)$ and other exotic hadrons has been a subject of extensive investigation since the first observation of the $X(3872)$ in 2003. While various theoretical models have been proposed, including hadronic molecular and compact tetraquark interpretations, some experimental evidence suggests that the $X(3872)$ may be a mixture state of a hadronic molecule and a $c\bar{c}$ core. In this work, we perform a systematic study of the hidden-charm tetraquark candidates $X(3860)$, $X(3872)$, and $Z(3930)$ using a coupled-channel model that incorporates both $c\bar{c}$ states and $D^{(*)}\bar{D}^{(*)}$ hadronic molecular components. The $c\bar{c}$ sector is described based on the constituent quark model predictions for the $\chi_{cJ}(2P)$ ($J = 0, 1, 2$) states, while the meson-meson interactions are modeled using pseudoscalar and vector meson exchange potentials. The model parameters are fixed to reproduce the masses of the $X(3872)$ and $Z(3930)$, and the resulting framework is used to predict the mass and structure of the $J^{PC} = 0^{++}$ state associated with the $X(3860)$. Our results support the mixture interpretation of these exotic hadrons, exhibiting strong attractions from the transition potential between $c\bar{c}$ and $D^{(*)}\bar{D}^{(*)}$ components. The molecular component is found to dominate in the $X(3872)$, while the $c\bar{c}$ component plays a more prominent role in the $X(3860)$ and $Z(3930)$.