We present an analysis to determine the charm quark mass from non-relativistic sum rules, using a combined approach taking into account fixed-order and effective-theory calculations. Non-perturbative corrections as well as higher-order perturbative corrections are under control. For the PS mass we find m_{PS}(0.7 GeV) = 1.50\pm 0.04 GeV, which translates into a MS-bar mass of m = 1.25\pm 0.04 GeV.
Flavor $SU(3)$ symmetry is a powerful tool to analyze charmed baryon decays. In this work, we propose an approach to generate $SU(3)$ sum rules for the singly and doubly charmed baryon decays without writing the Wigner-Eckhart invariants explicitly. The $SU(3)$ sum rules are computed routinely in several master formulas. Hundreds of $SU(3)$ sum rules are found to serve as test of the flavor symmetry in the charmed baryon decays.
Lorentz scalar and mass interactions are studied in more detail in the framework of a reduced Dirac equation for heavy quark-antiquark mesons. A microscopic model for these interactions is proposed and analyzed. The charmonium mass spectrum is reproduced by means of two free parameters; a third parameter is fixed by means of a phenomenological hypothesis in accordance with the model.
Rare decay process of the Higgs boson into a pair of $J/Ψ$ and $Υ$ particles is studied within perturbative Standard Model and relativistic quark model. The relativistic corrections connected with the relative motion of quarks are calculated in the production amplitude and the wave functions of the bound states. Numerical values of the decay widths of the Higgs boson are obtained, which can be used for comparison with experimental data.
We estimate the strong coupling constants of charmed and bottom mesons $ D_{(s)}^* $, $ D_{(s)1} $, $ B_{(s)}^* $, and $ B_{(s)1} $ with light vector mesons $ ρ$, $ ω$, $ K^* $, and $ ϕ$ within the framework of light-cone QCD sum rules. We compare our estimations to the ones predicted by other approaches.
In this article, we investigate the mass spectrum of the ground state hidden-charm tetraquark molecular states without strange, with strange and with hidden-strange via the QCD sum rules in a comprehensive way and revisit the assignments of the $X$, $Y$, $Z$ states in the scenario of tetraquark molecular states consistently based on the QCD sum rules.
Mass Predictions for Pseudoscalar $J^{PC}=0^{-+}$ Charmonium and Bottomonium Hybrids in QCD Sum-Rules
用QCD拉普拉斯求和规则计算了赝标量$(J^{PC}=0^{-+})$粲偶素和底偶素的质量。六维胶子凝聚的影响包括在我们的分析中，并导致稳定的求和规则分析，而这些国家的先前研究无法优化质量预测。赝标量粲偶素杂化体的质量预计约为3.8 GeV，相应的底偶素预测为10.6 GeV。计算完整的关联函数，而不仅仅是虚部，被证明是必要的准确制定的总和规则。粲混合质量的预测范围内的X Y Z共振进行了讨论。
Exclusive Nonleptonic Decays of Bottom and Charm Baryons in a Relativistic Three-Quark Model: Evaluation of Nonfactorizing Diagrams
在相对论性三夸克模型中研究了底重子和粲重子的非轻子衰变，模型中重子-三夸克顶点的动量依赖性为高斯形状。我们包括因式分解以及非因式分解贡献的衰减幅度。对于重到轻的跃迁Q -> q u d，非因式分解图的总贡献在振幅上达到因式分解贡献的约60%，对于b -> c u d跃迁，非因式分解图的总贡献达到约30%。我们计算各种非轻子衰变的速率和极化不对称参数，并将它们与现有数据和其他模型计算的结果进行比较。
What can a relativistic quark model tell us about charmed mesons?
将相对论性夸克模型推广到手征对称性和规范对称性对称性。我们得到了DD*pi和DD*gamma耦合，发现比率Gamma（D*0-> D 0 pi 0）/Gamma（D*0-> D 0 gamma）将粲夸克质量限制在1.45 GeV附近.大的1/mc修正出现在重夸克的贡献DD* 伽马耦合。该模型被进一步扩展到描述七个激发D介子态。我们发现半轻子B衰变到基态和激发态D介子态并不能解释B 0的总半轻子衰变宽度。对过程B 0->D（*）pi+ell+nu的非共振贡献似乎大到足以解释这种差异。
In this work, we explore the ground state mass spectrum of the bottom-charm baryon states in the framework of the QCD sum rules in a comprehensive way. In calculations, we distinguish the contributions of the positive-parity and negative-parity baryon states unambiguously, and investigate the energy scale dependence of the QCD sum rules in details and observe that the acceptable energy scales are $μ=2.0\sim 2.8\,\rm{GeV}$, while the best energy scale is $μ=2.0\,\rm{GeV}$. The predictions can be confronted to the experimental data in the future and shed light on the QCD low energy dynamics.
