隐藏奇异$1^{++}$四夸克质量与径向激发的QCD求和规则分析
QCD sum rule analysis of hidden strange $1^{++}$ tetraquark masses and radial excitations
- Jishou University（吉首大学）
- Sun Yat-Sen University（中山大学）
- Institute of Modern Physics, Chinese Academy of Sciences（中国科学院近代物理研究所）
- Dordt University（多德大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文通过QCD求和规则分析隐藏奇异$1^{++}$四夸克，确定$us\bar{u}\bar{s}$基态质量，发现$a_1(1930)$是致密$1^{++}$四夸克候选者，并讨论其可在未来实验检验的衰变道。
AI中文摘要：
我们利用QCD求和规则重新研究具有量子数$J^{PC}=1^{++}$的轻四夸克态，重点关注一组完整的无导数双夸克-反双夸克插值流。通过计算维度8凝聚态的算符乘积展开，我们从拉普拉斯求和规则（LSR）和有限能量求和规则（FESR）中提取了隐藏奇异$us\bar{u}\bar{s}$四夸克的基态质量，联合分析得到$M_{us\bar{u}\bar{s}} = 1.45\tilde{+}0.11$ GeV，该结果与$a_1(1420)$共振的质量吻合良好，支持其四夸克解释。此外，我们采用双共振窄宽度模型进行高斯求和规则（GSR）分析以探测径向激发，GSR拟合揭示了一个质量为$m_2 = 1.86\tilde{+}0.12$ GeV的较重态，以及较轻态的相对耦合$r = 0.15\tilde{+}0.03$，表明$a_1(1930)$是致密$1^{++}$四夸克的有希望候选者。我们还讨论了这些四夸克候选者的主导衰变模式，强调了$K^*K$和$f_0(980)\pi$等隐藏奇异道，这些可在未来实验中进行检验。
英文摘要：
We revisit the light tetraquark states with quantum numbers $J^{PC}=1^{++}$ using QCD sum rules, focusing on a complete set of derivative-free diquark-antidiquark interpolating currents. By calculating the operator product expansion up to dimension-eight condensates, we extract the ground-state mass of the hidden-strange $us\bar{u}\bar{s}$ tetraquark from both Laplace sum rules (LSR) and finite-energy sum rules (FESR). Our combined analysis yields $M_{us\bar{u}\bar{s}} = 1.45\pm0.11$~GeV, which agrees well with the mass of the $a_1(1420)$ resonance and supports its tetraquark interpretation. Furthermore, we perform Gaussian sum rule (GSR) analyses to probe radial excitations, adopting a two-resonance narrow-width model. The GSR fit reveals a heavier state with mass $m_2 = 1.86\pm0.12$~GeV and a relative coupling $r = 0.15\pm0.03$ for the lighter state, indicating that the $a_1(1930)$ is a promising candidate for a compact $1^{++}$ tetraquark. We also discuss the dominant decay modes of these tetraquark candidates, emphasizing hidden-strange channels such as $K^*K$ and $f_0(980)π$, which can be tested in future experiments.
