AI 中文总结
研究粲夸克偶素态三体衰变\(\chi _{c1,2} \to P_{1}P_{2}P_{3}\)，结合轻矢量、张量和标量介子共振贡献，基于SU(3)味对称方法计算分支比，给出多过程预测结果，表明其他通道可能有潜在共振贡献，如\(\chi _{c1,2}\to KK\pi\)通道。
AI 中文摘要
粲夸克偶素态的三体衰变是探索非微扰QCD动力学和研究轻介子共振的重要途径。本文研究了三体衰变\(\chi _{c1,2} \to P_{1}P_{2}P_{3}\)（\(P\)为轻赝标介子）。结合轻矢量（\(V\)）介子共振、轻张量（\(T\)）介子共振和轻标量（\(S\)）介子共振贡献，对\(\chi _{c1,2} \to P_{1}P_{2}P_{3}\)衰变进行分支比分析。基于SU(3)味对称方法，在窄宽度近似和有限宽度效应下计算分支比，并给出\(\chi _{c1,2}\to (V/T)P_{3} \to P_{1}P_{2}P_{3}\)过程的预测结果。此外，基于\(\chi _{c1} \to \pi^{+ }\pi^{- }\eta\)衰变中的显著\(a^{+}_{0}(980)\)共振信号，得到\(\chi _{c1}\to SP_{3} \to P_{1}P_{2}P_{3}\)的预测结果。当前实验观测到的共振信号主要集中在\(\chi_{c1} \to \pi^+ \pi^- \eta\)衰变，而本文结果表明其他通道可能存在潜在共振贡献，特别是在\(\chi _{c1,2}\to KK\pi\)通道，\(V\)介子和\(T\)介子有显著共振贡献，值得进一步实验验证和探索。
英文摘要
The three-body decays of charmonium states provide a valuable laboratory for probing non-perturbative QCD dynamics and investigating light meson resonances. Three-body decays $χ_{c1,2} \to P_{1}P_{2}P_{3}$ are studied in this work ($P$ denotes the light pseudoscalar meson). Branching ratio analysis is performed for the $χ_{c1,2} \to P_{1}P_{2}P_{3}$ decays incorporating light vector ($V$) meson resonance, light tensor ($T$) meson resonance and light scalar ($S$) meson resonance contributions. Based on the SU(3) flavor symmetry approach, we calculate the branching ratios under both the narrow width approximation and the finite width effect, and provide the predict results in the $χ_{c1,2}\to (V/T)P_{3} \to P_{1}P_{2}P_{3}$ processes. Furthermore, based on the significant $a^{+}_{0}(980)$ resonance signal in $χ_{c1} \to π^{+ }π^{- }η$ decay, the predict results for $χ_{c1}\to SP_{3} \to P_{1}P_{2}P_{3}$ are also obtained. While the resonance signals observed in current experiments are mainly concentrated in the $χ_{c1} \to π^+ π^- η$ decay, our results suggest potential resonance contributions in other channels. Especially in $χ_{c1,2}\to KKπ$ channels, the predicted results show the significant resonance contributions from $V$ mesons and $T$ mesons, which is worth further experimental verification and exploration.
Comments14 pages, 7 tables
