协变密度泛函理论框架下形变核共振态的研究

Covariant density functional theory (CDFT) is combined with the complex scaling method (CSM) to determine the energies and widths of single particle resonant states for deformed nuclei. With the developped CDFT-CSM theory, we check the level structure of single particle resonant states and its evolution in deformed exotic nuclei, calculate the energies and widths of resonant states for some unstable nuclei in the astrophysical reaction, and provide the input of the astrophysical reaction. Further, we introduce the pairing correlations into the CDFT-CSM, and establish a unified theory for describing the bound, resonances, and continuum. Then, we study systematically the properties of deformed exotic nuclei, analyze the formation mechanism of the deformed haloes and skin, and present the prediction of some deformed exotic nuclei. These studies are one of the main scientific objectives related to radioactive nuclear beam physics, and a hot topic in theory. The results are important to know the microscopic mechanism of nucleon-nucleon interactions and physical origin of the unusual structure, which can guide the detection of exotic nuclei in experiment.

在协变密度泛函理论(CDFT)理论框架下，引入复标度方法(CSM)处理共振态，建立描述形变核的CDFT-CSM理论，研究形变奇特核单粒子共振态的能级结构及其演化规律，计算天体核反应中若干不稳定核的共振态能量和宽度，为天体核反应提供输入量；进一步考虑对关联，建立统一描述束缚态、共振态和连续谱的理论，系统研究形变奇特核的结构与性质，分析形变奇特核晕和皮的形成机制，预言若干可能存在的形变奇特核。这些研究是当前放射性核束物理相关大科学工程的主要科学目标之一，也是理论关注的热点课题，研究结果对认识核子-核子相互作用的微观机制和奇特结构形成的物理根源有重要意义，对实验探测奇特核结构与性质有指导意义和参考价值。

原子核单粒子共振态在晕、能级反转和幻数移动等奇特现象中扮演着重要角色。我们将复标度方法(CSM)、复标度格林函数(CGF)方法和复动量表象(CMR)方法与相对论平均场理论(RMF)结合，发展了RMF-CSM、RMF-CGF和RMF-CMR理论方法，并用这些方法研究了原子核的单粒子共振。主要内容如下：一、将复标度方法和描述形变核的相对论平均场理论结合，发展了描述形变核的RMF-CSM理论方法。二、为了消除CSM计算对复标度参数的依赖，以获得更加准确的结果，我们将复标度格林函数方法拓展到相对论平均场理论，发展了RMF-CGF理论方法。比较而言，我们的结果更加准确。