两胶子和三胶子胶球的衰变性质
The decay properties of two- and three- gluon glueballs
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中文总结 AI 辅助
本研究扩展了基于Fierz重排的胶球衰变分析，补充两胶子胶球的张量/赝张量态衰变研究，并通过独立QCD求和规则交叉验证，给出多个胶球候选态的性质与实验搜寻有利衰变道。
中文摘要 AI 辅助
我们此前在文献[Tan:2026uue]中利用Fierz重排方法研究了两胶子与三胶子胶球的衰变性质，并得到了它们的相对分支比。在本工作中，我们扩展并深化了这一分析：对两胶子胶球衰变进行了更完备的处理，同时考虑了$J^{PC}=2^{++}$的张量态与$J^{PC}=2^{-+}$的赝张量态。我们还对$0^{++}$两胶子胶球的衰变开展了独立的QCD求和规则分析。两种方法得到的结果一致性良好，为Fierz分析提供了有效的交叉检验。我们的结果支持$f_0(1710)$中存在显著的胶子成分，并倾向于将$η(2370)$解释为$0^{-+}$胶球。对于张量胶球，矢量-矢量（$VV$）衰变道尤其是$K^{*}(892)\bar{K}^{*}(892)$道被认为有利于实验搜寻。我们还研究了$J^{PC}=0^{++}$和$1^{+-}$的三胶子胶球，确定了若干潜在的有利三介子衰变道，包括$ππω$和$K\bar Kϕ$。这些结果可为未来实验搜寻胶球态提供可能的指导。
英文摘要
We previously studied the decay properties of two- and three-gluon glueballs using the Fierz rearrangement method and obtained their relative branching ratios in Ref.~\cite{Tan:2026uue}. In this work, we extend and develop this analysis by providing a more complete treatment of two-gluon glueball decays and by considering the tensor and pseudotensor states with $J^{PC}=2^{++}$ and $2^{-+}$. We also perform an independent QCD sum rule analysis of the $0^{++}$ two-gluon glueball decay. The consistency between the two approaches provides a useful check of the Fierz analysis. Our results support a sizable gluon component in the $f_0(1710)$ and favor the $0^{-+}$ glueball interpretation of the $η(2370)$. For the tensor glueball, the vector--vector ($VV$) decay channels, especially $K^{*}(892)\bar{K}^{*}(892)$, are found to be favorable for experimental searches. We also study three-gluon glueballs with $J^{PC}=0^{++}$ and $1^{+-}$ and identify several potentially favorable three-meson decay channels, including $ππω$ and $K\bar Kϕ$. These results provide possible guidance for future experimental searches for glueball states.
