通过重夸克偶素辐射衰变与正负电子对湮灭探测X(2370)的胶球组分
Probing Glueball content of X(2370) through heavy quarkonium radiative decays and electron-positron annihilation
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中文总结 AI 辅助
本研究通过η-η'-G-η_c四混合方案分析J/ψ、ψ(2S)的辐射衰变分支比，预言X(2370)相关衰变的分支比及电产生截面，其结果可由BESIII、Belle-II实验检验，以探究X(2370)的胶球组分。
中文摘要 AI 辅助
本文首先分析赝标胶球的光锥分布振幅，指出双胶子与夸克-反夸克对的贡献会在量子圈水平自然混合。基于η-η'-G-η_c四混合方案及现有实验结果，我们分析J/ψ→P+γ（P为赝标介子）的衰变分支比，并提取该四混合方案的混合参数。随后我们成功预言了ψ(2S)→P+γ的分支比，发现其与实验结果吻合良好。我们还发现J/ψ→X(2370)+γ与ψ(2S)→X(2370)+γ的分支比对胶球-夸克偶素混合角高度敏感：J/ψ→X(2370)+γ的分支比在φ_gc≈0.01时出现破坏性混合干涉，而ψ(2S)→X(2370)+γ的分支比在φ_gc≈0.11时出现破坏性混合干涉；当混合角大于φ_gc≈0.02时，J/ψ→X(2370)+γ的分支比则呈现建设性混合干涉。此外，我们还研究了赝标介子的电产生截面，排除共振贡献后，理论计算与实验测量的量级一致，同时给出了X(2370)电产生截面的理论预言。这些理论结果可通过当前BESIII与Belle-II实验轻易验证，进一步的实验测量将揭示X(2370)的本征性质。
英文摘要
In this paper, we first analyze the light-cone distribution amplitudes of the pseudoscalar Glueball and point out that the two-gluon and quark-antiquark pair contributions naturally mix at the quantum loop level. Based on the $η-η'-G-η_c$ tetra-mixing scheme and existing experimental results, we analyze the branching ratio of $J/ψ\to P+γ$ with pseudoscalar meson $P$ and extract the mixing parameters of the tetra-mixing scheme. We then successfully predict the branching ratio of $ψ(2S) \to P+γ$, which is found to be in good agreement with experimental results. We also find that the branching ratios of $J/ψ\to X(2370)+γ$ and $ψ(2S) \to X(2370)+γ$ are highly sensitive to the Glueball-charmonium mixing angle: the destructive mixing interference in the branching ratio of $J/ψ\to X(2370)+γ$ occurs at $ϕ_{gc}\approx0.01$, whereas that in $ψ(2S) \to X(2370)+γ$ occurs at $ϕ_{gc}\approx 0.11$. Moreover, the $J/ψ\to X(2370)+γ$ branching ratio exhibits constructive mixing interference when the mixing angle is larger than $ϕ_{gc}\approx 0.02$. Finally, we also study the electroproduction cross sections of pseudoscalar mesons. After excluding the resonance contributions, the theoretical calculations agree with the experimental measurements in order of magnitude, and we also present theoretical predictions for the electroproduction cross section of the $X(2370)$. These theoretical results can be readily tested by current BESIII and Belle-II experiments, and further experimental measurements will reveal the intrinsic nature of the $X(2370)$.
