具有$J^P=0^{\boldsymbol{\pm}}$的三重重味$(Q\bar{Q})(Q\bar{q})$四夸克态的QCD求和规则分析
QCD Sum Rule Analysis of Triply Heavy $(Q\bar{Q})(Q\bar{q})$ Tetraquark States with $J^P=0^{\pm}$
中文总结 AI 辅助
本研究利用QCD求和规则分析三重重味四夸克态，构造内插流提取质谱，预言了若干粲四夸克态和底四夸克态的质量与衰变性质，为实验寻找提供候选目标。
中文摘要 AI 辅助
在QCD求和规则框架下，我们系统研究了量子数为$J^{P}=0^{\boldsymbol{\pm}}$的$(c\bar{c})(c\bar{q})$和$(b\bar{b})(b\bar{q})$四夸克态的质谱及可能的衰变模式。基于两种不同的颜色组态，即$[8_c]_{Q\bar{Q}} \otimes [8_c]_{Q\bar{q}}$和$[1_c]_{Q\bar{Q}} \otimes [1_c]_{Q\bar{q}}$，我们为这些态构造了18个内插流，并对其中一部分得到了稳定的求和规则。通过计算对应的两点关联函数，我们提取了它们的质谱。对于$(c\bar{c})(c\bar{q})$系统，我们识别出4种可能的四夸克态：两种$J^{P}=0^+$的态，即$T_{3c,0}(4760)$和$T_{3c,0}(5000)$；两种$J^{P}=0^-$的态，记为$T_{3c,0}(5040)$和$T_{3c,0}(5370)$。对于$(b\bar{b})(b\bar{q})$系统，提取出的质量范围为：$J^{P}=0^+$态在13.72–14.02 GeV之间，$J^{P}=0^-$态在13.90–14.22 GeV之间。我们进一步分析了它们可能的衰变模式。结果表明，$T_{3c,0}(5000)$、$T_{3c,0}(5040)$和$T_{3c,0}(5370)$可衰变为一个粲偶素态和一个粲介子，因此预期具有可观的衰变宽度。相比之下，$T_{3c,0}(4760)$以及所有预言的$(b\bar{b})(b\bar{q})$四夸克态预期相对较窄，因为通过碎裂机制（fall-apart mechanism）发生的相应两体强衰变在运动学上是禁戒的。因此，$T_{3c,0}(4760)$和所有预言的$(b\bar{b})(b\bar{q})$四夸克态是实验上在含$D$或$\bar{B}$介子、伴随轻强子或光子的末态中寻找的有前景的候选者。
英文摘要
Within the framework of QCD sum rules, we systematically investigate the mass spectra and possible decay patterns of the $(c\bar{c})(c\bar{q})$ and $(b\bar{b})(b\bar{q})$ tetraquark states with quantum numbers $J^{P}=0^{\pm}$. Based on two distinct color configurations, $[8_c]_{Q\bar{Q}} \otimes [8_c]_{Q\bar{q}}$ and $[1_c]_{Q\bar{Q}} \otimes [1_c]_{Q\bar{q}}$, we construct 18 interpolating currents for these states, and obtain stable sum rules for a subset of them. By calculating the corresponding two-point correlation functions, we extract their mass spectra. For the $(c\bar{c})(c\bar{q})$ system, we identify four possible tetraquark states: two with $J^{P}=0^+$, namely $T_{3c,0}(4760)$ and $T_{3c,0}(5000)$, and two with $J^{P}=0^-$, denoted as $T_{3c,0}(5040)$ and $T_{3c,0}(5370)$. For the $(b\bar{b})(b\bar{q})$ system, the extracted masses are found to lie in the ranges $13.72$--$14.02$ GeV for the $J^{P}=0^+$ states and $13.90$--$14.22$ GeV for the $J^{P}=0^-$ states. We further analyze their possible decay modes. Our results indicate that $T_{3c,0}(5000)$, $T_{3c,0}(5040)$, and $T_{3c,0}(5370)$ can decay into a charmonium state and a charmed meson, and are therefore expected to have appreciable decay widths. By contrast, $T_{3c,0}(4760)$ and all predicted $(b\bar{b})(b\bar{q})$ tetraquark states are expected to be relatively narrow, since the corresponding two-body strong decays via the fall-apart mechanism are kinematically forbidden. Therefore, $T_{3c,0}(4760)$ and all predicted $(b\bar{b})(b\bar{q})$ tetraquark states are promising candidates for experimental searches in final states containing a $D$ or a $\bar{B}$ meson, accompanied by light hadrons or a photon.
