AI 中文总结
研究X(3872)奇异态，构建含库仑、禁闭和卡皮察启发项的有效势，通过薛定谔方程求解及耦合通道分析，得出基态质量与实验吻合，明确分子和四夸克核心成分比例，还对低激发态预测，为阈值调谐提供机制。
AI 中文摘要
X(3872)是最引人入胜的奇异强子之一，极其接近$D^0\bar{D}^{*0}$阈值。我们构建了一个由库仑、线性禁闭和一个受卡皮察启发代表快速胶子涨落平均效应的项组成的有效势。薛定谔方程数值解表明该项在中间距离区域提供有效吸引，基态质量为$3871.7 \pm 0.9$ MeV与实验高度吻合。耦合通道分析表明主要是分子成分（约65%-72%）且有显著紧凑四夸克核心（约28%-35%），还给出了低激发态预测，该模型为阈值调谐提供了物理动机机制。
英文摘要
The X(3872) remains one of the most intriguing exotic hadrons, lying extremely close to the $D^0\bar{D}^{*0}$ threshold. We construct an effective potential consisting of Coulomb, linear confinement and a Kapitza-inspired term representing the averaged effect of fast gluonic fluctuations. Numerical solution of the Schrödinger equation shows that this term provides effective attraction in the intermediate-distance region, yielding a ground-state mass of $3871.7 \pm 0.9$ MeV in excellent agreement with experiment. Coupled-channel analysis indicates a dominant molecular component ($\sim 65\%-72\%$) with a significant compact tetraquark core ($\sim 28\%-35\%$). We also present predictions for low-lying excited states. The model offers a physically motivated mechanism for threshold tuning.
