发表机构
Ferdowsi University of Mashhad; University of Tehran; Dogus University（马什哈德 Ferdowsi 大学; 德黑兰大学; 多乌斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用光锥QCD求和规则，计算了重-轻混合介子的电磁形状因子和矩，揭示了不同构型下电四极矩的系统性规律，为理解其内部结构提供了理论预测。
AI 中文摘要
我们在光锥QCD求和规则框架内研究了矢量和轴矢量重-轻混合介子的电磁（EM）性质。这些态具有显式的胶子自由度，并通过对应于 $J^{P(C)}=1^{-(-)}$、$1^{+(-)}$、$1^{+(+)}$ 和 $1^{-(+)}$ 混合构型的插值流进行研究。通过分析存在外部背景光子时的关联函数，并将其强子表示与QCD表示进行匹配，我们推导了磁偶极子和电四极子形状因子的光锥求和规则，并在 $Q^2=0$ 处提取了相应的电磁矩。求和规则的QCD端包含了微扰光子发射贡献以及由光子分布振幅（DAs）描述的相关非微扰效应。我们对带电的 $\bar b g u$、$b g\bar u$、$\bar c g d$、$c g\bar d$、$\bar c g s$ 和 $c g\bar s$ 混合构型进行了数值预测。计算得到的电磁矩在不同混合构型之间显示出差异。对于电四极矩（EQMs）观察到更系统的模式：从 $\mathcal J_\mu^1$ 和 $\mathcal J_\mu^3$ 流获得的结果通常彼此接近，从 $\mathcal J_\mu^2$ 和 $\mathcal J_\mu^4$ 流获得的结果也类似，且前一对通常给出稍大的量值。相比之下，磁偶极矩（MDMs）不一定表现出相同的系统分组，尽管它们在不同流和构型之间也显示出变化。对于含底夸克的态，我们进一步讨论了其电磁矩的符号和大小与含粲夸克态的差异，并探讨了这些结果对理解混合介子内部结构的意义。
英文摘要
We investigate the electromagnetic (EM) properties of vector and axial-vector heavy-light hybrid mesons within the light cone QCD sum rules framework. These states are characterized by an explicit gluonic degree of freedom and are studied through interpolating currents corresponding to the $J^{P(C)}=1^{-(-)}$, $1^{+(-)}$, $1^{+(+)}$, and $1^{-(+)}$ hybrid configurations. By analyzing the correlation function in the presence of an external background photon and matching its hadronic and QCD representations, we derive the light cone sum rules for the magnetic dipole and electric quadrupole form factors and extract the corresponding electromagnetic moments at $Q^2=0$. The QCD side of the sum rules incorporates the perturbative photon emission contributions as well as the relevant non-perturbative effects described by photon distribution amplitudes (DAs). Numerical predictions are obtained for the charged $\bar b g u$, $b g\bar u$, $\bar c g d$, $c g\bar d$, $\bar c g s$, and $c g\bar s$ hybrid configurations. The calculated electromagnetic moments show variations among the different hybrid configurations. A more systematic pattern is observed for the electric quadrupole moments (EQMs): the results obtained from the $\mathcal J_μ^1$ and $\mathcal J_μ^3$ currents are generally close to each other, as are those obtained from $\mathcal J_μ^2$ and $\mathcal J_μ^4$, with the former pair generally yielding somewhat larger magnitudes. The magnetic dipole moments (MDMs), in contrast, do not necessarily exhibit the same systematic grouping, although they also show variations among the different currents and configurations. For the bottom-containing states...
Comments31 Pages, 7 Figures, 12 Tables
