重味重子态与四夸克态的连续量子场论方法研究

Doubly heavy baryons and a large number of X, Y and Z particles discovered in many particle physics facilities around the world have attracted much attention of theoretical physicists. The structures of X, Y and Z particles have always been one of the main research contents of hadron physics. In this project, we intend to study the three-body and four-body bound states of relativistic quantum field theory by using the contact interaction model and the algebraic model of mesons and diquarks within the framework of Dyson-Schwinger equations, aiming for doubly heavy baryons and tetraquarks. The specific research contents include: (1) to study the spectrum and internal structure of doubly heavy baryons, and analyze the distribution of spin and orbital angular momentum in hadrons; (2) to study the spectrum and structure of light-scalar tetraquarks, and analyze the contribution of each component under the coupling interaction of meson-meson and diquark-anti-diquark; (3) to study whether heavy flavor tetraquark systems can form bound states, and determine their states and mass spectra. This project has great significance for enriching the understanding of the continuous quantum field theory of multi-quark states and promoting the experimental search for multi-quark states.

世界各大型粒子物理实验室发现的双重味重子态与大量的X、Y、Z粒子态，倍受理论物理学家的关注。X、Y、Z粒子的结构一直是强子物理领域的主要研究内容之一。本项目针对双重味重子态与四夸克态，拟在Dyson-Schwinger方程理论框架下采用接触相互作用模型与介子、双夸克对的代数模型两种方法开展相对论性量子场论三体、四体束缚态的研究。其具体研究内容包括：(1)研究双重味重子态的质量谱以及内部结构，分析强子内的自旋、轨道角动量的分布；(2)研究轻标量四夸克态介子的能谱与结构，分析在介子-介子与双夸克对-反双夸克对的耦合相互作用下各分量的贡献；(3)研究重味的四夸克系统能否形成束缚态并确定它们的质量谱。该项目研究对于丰富多夸克态的连续量子场论的理解，推动多夸克态的实验寻找具有重要意义。

研究强子性质与致密星体结构可以加深人们对强相互作用的认识，为天体结构与演化提供理论支持，是目前基础物理的前沿研究领域之一。随着国内外大型实验装置的建造与升级，为人们进一步探索强子结构带来了机遇。本项目拟采用Dyson-Schwinger方程(DSEs)方法，研究超越彩虹-梯近似的计算方法，研究D(s)介子的衰变。在热密夸克物质系统中，研究同位旋密度差别对手征相变及pion超流相变的影响，并进一步将冷夸克物质的物态方程应用于致密星体结构的研究中。对这些问题的研究将有助于我们深入理解强子质量的产生机制及与对强子衰变的关系，通过手征相变的研究更好地理解早期宇宙 。