发表机构
MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi’an Jiaotong University（西安交通大学物理学院非平衡合成与调控凝聚态物质教育部重点实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过复标度方法扩展绝热框架，纳入介子-介子连续态耦合，统一处理粲偶素类束缚态与共振态，直接提取衰变宽度，发现多个态具有分子特征，并提出X(3940)的新候选身份。
AI 中文摘要
在本工作中，我们通过引入复标度方法，扩展了先前针对4.3 GeV以下粲偶素类谱的绝热框架。与先前框架不同，本方法明确纳入介子-介子连续态的耦合，全面考虑其对物理态的贡献。因此，它允许束缚态和共振态被同等对待，从而能够直接从复能量本征值提取衰变宽度，无需引入任何额外自由参数。利用所得解，我们计算了通道权重和复均方根半径（$r_{\scriptscriptstyle{RMS}}$）以阐明其内部结构。具体而言，我们发现$\chi_{c1}(3872)$、$\psi(4040)$和$\psi(4230)$态表现出显著的分子特征。此外，我们提出$X(3940)$作为$J^{PC}=1^{++}$态的候选者，并详细讨论了$\chi_{c0}(2P)$共振的性质。
英文摘要
In this work, we extend our previous diabatic framework for the charmonium-like spectrum below $4.3$ GeV by introducing the complex scaling method. Unlike the previous framework, the present approach explicitly incorporates couplings to the meson-meson continuum, comprehensively accounting for its contributions to the physical states. Consequently, it allows bound and resonant states to be treated on an equal footing, enabling the direct extraction of decay widths from complex energy eigenvalues without introducing any additional free parameters. Using the obtained solutions, we calculate the channel weights and complex root-mean-square radii ($r_{\scriptscriptstyle{RMS}}$ ) to elucidate their internal structures. Specifically, we find that the $χ_{c1}(3872)$, $ψ(4040)$, and $ψ(4230)$ states exhibit significant molecular characteristics. Furthermore, we propose the $X(3940)$ as a candidate for a $J^{PC}=1^{++}$ state and discuss the nature of the $χ_{c0}(2P)$ resonance in detail.
Comments13 pages, 11 figures. Accepted for publication in Physical Review D
