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arXiv 2307.08366hep-phhep-ex
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具有奇异量子数$J^{PC}=2^{+-}$的混杂介子预测

Predictions of the hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$

Qi-Nan Wang, Ding-Kun Lian, Wei Chen

备注：
7 pages, 6 figures. Published in Phys. Rev. D
发表信息：
Phys. Rev. D 108, 114010 (2023)
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AI总结：

本研究用量子色动力学求和规则计算了$J^{PC}=2^{+-}$的轻混杂介子质量，提出其可通过粲偶素辐射衰变产生，并给出了在BESIII与BelleII实验中通过特定衰变过程搜寻这类奇异态的可行方案。

摘要：

我们采用QCD sum rules（量子色动力学求和规则）方法，研究了具有$J^{PC}=2^{+-}$量子数的非奇异和奇异偶素轻混杂介子。构建了带三个洛伦兹指标的定域混杂内插流，以耦合这类奇异量子数。我们在$\u03b1_s$领头阶下计算了直至八维凝聚的关联函数。结果显示，非奇异$b_2$和$h_2$混杂介子的质量约为$2.65~\u2009\textrm{GeV}$，而奇异偶素$h_2^\u2032$混杂介子的质量约为$2.72~\u2009\textrm{GeV}$。这类奇异$2^{+-}$混杂介子可通过$\ucc0121_{cJ}$辐射衰变中的双胶子和三胶子发射过程产生。此外，这类混杂介子因独特的衰变行为和较小的衰变宽度或可被探测。利用BESIII和BelleII中$\u03c8(3686)$的高统计量数据样本，通过$b_2\to\uc0c9/a_1/h_1/a_2\u03c0\to4\u03c0$、$h_2\to\uc624\u03c0\to3\u03c0$和$h_2\to b_1\u03c0\to5\u03c0$过程的分波分析，有可能搜寻到这类混杂态。

英文摘要：

We study the non-strange and strangeonium light hybrid mesons with $J^{PC}=2^{+-}$ by using the method of QCD sum rules. The local hybrid interpolating currents with three Lorentz indices are constructed to couple to such exotic quantum numbers. We calculate the correlation functions up to dimension eight condensates at the leading order of $α_{s}$. In our results, the masses of the non-strange $b_2$ and $h_2$ hybrids are about $2.65~\mathrm{GeV}$, while that of the strangeonium $h_2^\prime$ hybrid is about $2.72~\mathrm{GeV}$. Such exotic $2^{+-}$ hybrids can be generated through both the two-gluon and three-gluon emission processes in the radiative decays of $χ_{cJ}$. Moreover, these hybrid mesons may be detectable due to their peculiar decay behaviors and small decay widths. Using the high-statistics data samples of $ψ(3686)$ in BESIII and BelleII, it is possible to hunt for such hybrid states through the partial wave analyses in the $b_2\toω/a_1/h_1/a_2π\to4π$, $h_2\toρπ\to3π$ and $h_2\to b_1π\to5π$ processes.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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