新颖代数方法在tau衰变和重味介子半轻子衰变及强子共振态问题中应用

紧密结合目前国内和国际及未来可能的大科学装置上实验，对相关感兴趣的各类衰变和共振态性质进行理论探索，是重要且有意义的。本项目主要涉及三个方面: 1）tau轻子衰变: 国内正拟建超级tau-charm工厂，但目前稀缺tau物理相关研究，所以本项目将利用新提出的新颖代数方法，探讨tau衰变中可能的新机制和新现象；2） 重味介子的半轻子衰变: 应用新提出的新代数方法，对相关的重味强子半轻子衰变分支比、螺旋度振幅及可能的新物理进行探索；3）强子共振态的分子性质：在不同反应（强子衰变、辐射衰变和弱衰变）研究和检验强子共振态的分子性质，主要研究不变质量谱和预言反应产额及探讨可能同位旋破坏和三角奇异机制等。尝试在tau衰变中检验共振态的分子性质是新开辟的一个方向，期望为未来tau-charm工厂计划提供有意义和可能的支持信息。本项目将有助于进一步检验模型理论并为相关实验寻找提供合理的依据和指导。

It is important and meaningful to explore theoretically the various decay modes and some interesting resonances, which are closely connected with the recent experiments from the large research facilities, including currently being upgraded and the proposed Super Tau-Charm Facility of China. This project mainly involves three aspects:1) we will investigate the related tau decays,because currently the theoretical investigation is scarce on tau physics. In this project the novel algebraic method proposed recently will be utilized to explore possible new mechanism and new phenomena in tau decays;2) we will investigate the semileptonic decay of mesons with charm or bottom quark. The newly proposed novel algebraic method on semileptonic decays will be adopted to probe the related branch ratios and interesting helicity amplitudes and possible new physics;3) For different reactions (hadronic decay, radiative decay and weak decay), we will investigate the invariant mass distribution and predict the rates of production in the final state interaction, testing the nature of the hadron resonances. We also investigate the isospin-violating and triangle singularity mechanism in some related decays, which is important and fundamental issue.The exploration in tau decay will open up a new way to test the nature of the resonances. And more, with the possible advent of future Tau-Charm Facility, this project should be meaningful and valuable to provide the grounds for proposals. All these studies will help to test the current theory and deeply understand the nature of interactions, and may provide the guidance for possible future experiments.