发表机构
School of Physics, Southeast University; College of Science, Northwest A&F University; College of Physics and Optoelectronic Engineering, Taiyuan University of Technology（东南大学物理学院; 西北农林科技大学理学院; 太原理工大学物理与光电工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究用QCD求和规则预测$D^{(*)}\ar D^{(*)}$系统相对$P$-波激发态质量，发现与$X(3790)$和$G(3900)$等近阈值结构相容，并指出$1^{-+}$与$1^{--}$通道质量简并，为实验探索提供新方向。
AI 中文摘要
我们利用QCD求和规则方法研究了$D^{(*)}\ar D^{(*)}$系统的相对$P$-波激发。通过在两个基态粲介子场之间引入协变导数，我们构造了色单态的插值流，用以描述两个介子团之间的相对轨道激发。我们系统地研究了$J^{P}=1^{-}$的$P$-波$D\ar D$、$D\ar D^*/D^*\ar D$和$D^*\ar D^*$构型，并预测它们的质量分别约为$3.8$、$3.9$和$4.0$-$4.1$ GeV。这些值接近相应的阈值，并与$X(3790)$和$G(3900)$附近的结构相容，支持它们可能分别被解释为$P$-波$D\ar D$和$D\ar D^*/D^*\ar D$构型。此外，我们发现，在当前QCD求和规则框架下，$D\ar D^*/D^*\ar D$扇区中的$J^{PC}=1^{-+}$和$1^{--}$组合具有相同的关联函数，导致这两个通道的质量预测简并。这些结果表明，重介子对的相对$P$-波激发可能构成另一类有趣的近阈值强子构型，值得进一步的实验研究。
英文摘要
We investigate the relative $P$-wave excitations of the $D^{(*)}\bar D^{(*)}$ systems using the QCD sum rule method. By introducing a covariant derivative between two ground-state charmed meson fields, we construct color-singlet interpolating currents to describe the relative orbital excitation between the two meson clusters. The $P$-wave $D\bar D$, $D\bar D^*/D^*\bar D$, and $D^*\bar D^*$ configurations with $J^{P}=1^{-}$ are systematically studied. Their masses are predicted to be around $3.8$, $3.9$, and $4.0$-$4.1$GeV, respectively. These values are close to the corresponding thresholds and are compatible with the structures around $X(3790)$ and $G(3900)$, supporting their possible interpretations as $P$-wave $D\bar D$ and $D\bar D^*/D^*\bar D$ configurations, respectively. In addition, we find that the $J^{PC}=1^{-+}$ and $1^{--}$ combinations in the $D\bar D^*/D^*\bar D$ sector possess identical correlation functions in the present QCD sum rule framework, leading to degenerate mass predictions for these two channels. These results indicate that relative $P$-wave excitations of heavy meson pairs may constitute another interesting class of near-threshold hadronic configurations worthy of further experimental investigation.
Comments17 pages, 4 figures, 1 table, suggestions and comments are welcome
