对隐藏魅夸克和隐藏底夸克介子的统一研究
A Unified Study of Hidden-Charm and Hidden-Bottom Mesons
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中文总结 AI 辅助
该研究在共同框架内对隐藏魅夸克和隐藏底夸克介子统一分析，用屏蔽库仑加禁闭相互作用获质谱，通过QCD求和规则确定相关量，研究多种可观测量，比较两扇区差异，为相关研究提供连贯真空基准。
中文摘要 AI 辅助
我们对隐藏魅夸克和隐藏底夸克介子进行了统一的唯象分析，在共同的屏蔽势和QCD求和规则框架内处理\(c\bar c\)和\(b\bar b\)扇区。通过具有自旋相关修正的屏蔽库仑加禁闭相互作用获得质谱，而短程衰变常数、湮灭宽度和电磁跃迁形状因子则通过两点和三点QCD求和规则来确定。用相同计算出的态研究E1和M1辐射跃迁、雷吉轨迹以及由相对于相应基态的激发能构建的有限谱热力学可观测量。结果一起讨论而非孤立输出：质谱确定态的归属，雷吉图检验整体能级排序，辐射宽度探测轨道和自旋翻转重叠积分，QCD求和规则量将谱与电流耦合可观测量联系起来。两个隐藏味扇区的比较显示了底夸克偶素中预期的压缩和更强的自旋抑制，而魅夸克偶素对精细结构、径向节点和介质相关效应更敏感。所得图像为\(c\bar c\)和\(b\bar b\)光谱学、辐射跃迁和QCD求和规则可观测量提供了一个连贯的真空基准。
英文摘要
We present a unified phenomenological analysis of hidden-charm and hidden-bottom mesons, treating the \(c\bar c\) and \(b\bar b\) sectors within a common screened-potential and QCD sum-rule framework. The mass spectra are obtained from a screened Coulomb-plus-confining interaction with spin-dependent corrections, while the short-distance decay constants, annihilation widths and electromagnetic transition form factors are organized through two-point and three-point QCD sum rules. The same calculated states are then used to study E1 and M1 radiative transitions, Regge trajectories and finite-spectrum thermodynamic observables constructed from excitation energies relative to the corresponding ground states. The results are discussed together rather than as disconnected outputs: the mass spectra determine the state assignments, the Regge plots test the global level ordering, the radiative widths probe orbital and spin-flip overlap integrals, and the QCD sum-rule quantities connect the spectrum to current-coupled observables. The comparison of the two hidden-flavour sectors shows the expected compression and stronger spin suppression in bottomonium, while charmonium remains more sensitive to fine-structure, radial-node and medium-related effects. The resulting picture provides a coherent vacuum benchmark for \(c\bar c\) and \(b\bar b\) spectroscopy, radiative transitions and QCD sum-rule observables.
