In this work, we investigate the resonant contributions of and in the three-body within the perturbative QCD approach. The form factor is adopted to describe the nonperturbative dynamics of the S-wave system. The branching ratios of all concerned decays are calculated and predicted to be in the order of to . The ratio of branching fractions between and is predicted to be 0.0552, which implies the discrepancy for the LHCb measurements. We expect that the predictions in this work can be tested by the future experiments, especially, to resolve ratio discrepancy.

中文翻译：

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迷人三体介子衰变及其中的贡献

在这项工作中，我们研究了三体和三体中的共振贡献在微扰 QCD 方法中。采用形状因子来描述 S 波系统的非微扰动力学。计算和预测所有相关衰变的分支比为到 的顺序。之间的支化分数比和预计为 0.0552，这意味着 LHCb 测量值存在差异。我们希望这项工作中的预测可以通过未来的实验进行测试，特别是解决比率差异。