强子共振态能谱和衰变的研究是粒子物理强相互作用问题的前沿领域，是理解QCD非微扰性质的重要途经。本项目计划从Rigged Hilbert Space（RHS）的相对论性量子力学与Bethe-Salpeter（BS）方程两方面出发探索强子共振态理论和唯象学。具体研究内容涵括三方面：（1）在RHS框架下建立相对论性的共振态理论模型，研究共振态的几率解释、波函数性质等理论问题；（2）利用RHS框架下共振态理论模型对新粒子态进行唯象学研究，重点分析和预言重夸克有关的新奇特强子态；（3）从BS方程出发研究重夸克-反重夸克和重轻介子-重轻介子的混合机制，并与RHS框架下共振态理论中的混合机制进行比较研究。项目组目前已在相关领域取得一定的理论成果，本项目的开展，能对强子共振态的问题提供新的理论框架，对新奇特强子态的能谱和衰变进行解释和预言。

Research of hadron resonance states and their decays is the frontier of the strong interaction of particle physics, which is helpful for our understanding of the non-perturbative properties of the strong interaction. In this project, we are going to explore the resonance theory and phenomenology in frameworks of the relativistic quantum mechanics in Rigged Hilbert Space(RHS) and Bethe-Salpeter(BS) equation method. In order to reach the goal, we concentrate on three subjects: (1) We plan to establish an exactly solvable model for relativistic resonances, such as a relativistic Friedrichs model, to study the probability explanation and the properties of wave function of resonances. (2) By using the resonance model in the RHS framework, we are going to make phenomenological studies of the new hadron states and analyze the new exotic states containing heavy quarks. (3) We also plan to study the forming mechanism of hadron resonance with the degrees of freedom of heavy quark pair and heavy-light meson pair through the Bethe-Salpeter equation method, and this mechanism is also studied by comparing with the mixing mechanism in the resonance theory of the RHS scheme. We have obtained some theoretical achievements in the related area. The progress of this project could help us to establish a new theoretical framework for understanding the hadron resonance and provide explanations and predictions to the masses and decays of new exotic hadron states.