arXiv 2512.166372025-12hep-ph

通过QCD求和规则探测激发的$qar{q}$介子

Probing Excited $q\bar{q}$ Mesons via QCD Sum Rules

Zhejiang Institute of Modern Physics, School of Physics, Zhejiang University（浙江大学物理学院现代物理研究所）

Shuang-Hong Li, Wei-Yang Lai, Hong-Ying Jin

备注：: 15 pages, 10 figures

AI总结：

本文通过QCD求和规则在次leading阶研究轻激发$qar{q}$介子的质量，构建了包含协变导数的插值电流，计算到维数8的condensates，包括NLO扰动项和$m\langlear{q}q angle$修正，得到与实验一致的$J^P=2^\pm$非十和$J=0,1$态，特别是$J^{PC}=2^{++}$电流耦合到两个不同的$2^{++}$共振态。

摘要：

我们系统研究了利用QCD求和规则在次leading阶下的轻激发$qar{q}$介子的质量。为了探测激发态，我们构建了包含协变导数的几种插值电流。计算到维数8的condensates，包括NLO扰动项和$m\langlear{q}q angle$修正。利用高斯求和规则，我们得到了几个$J^P=2^\pm$非十，其质量与实验一致。使用高斯和拉普拉斯求和规则，还得到了若干与实验兼容的$J=0,1$态。特别是，$J^{PC}=2^{++}$电流耦合到两个不同的$2^{++}$共振态。这项工作展示了协变导数运算符在研究激发强子方面的有效性。

英文摘要：

We present a systematic study of the masses of light excited $q\bar{q}$ mesons using QCD sum rules at next-to-leading order (NLO). To probe excited states, we construct several interpolating currents with covariant derivatives inserted. The calculation is carried out up to dimension-8 condensates, including NLO perturbative and $m\langle\bar{q}q\rangle$ corrections. Employing Gaussian sum rules, we obtain several $J^P=2^\pm$ nonets with masses that agree well with experiments. Several $J=0,1$ states compatible with experiments are also obtained using both Gaussian and Laplace sum rules. In particular, the $J^{PC}=2^{++}$ current couples to two distinct $2^{++}$ resonances. This work demonstrates the efficacy of operators with covariant derivatives for studying excited hadrons.

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