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文章简要介绍了格林函数协变密度泛函理论及其对奇特原子核结构的研究进展.首先,文章简要回顾了奇特原子核的研究现状和传统理论处理连续谱遇到的问题.随后,系统介绍了格林函数协变密度泛函理论的基本公式,包括格林函数的相对论平均场(GF-RMF)近似和格林函数相对论连续谱Hartree-Bogoliubov(GFRCHB)等,详细给出了利用格林函数方法求解径向Dirac方程和RCHB方程的相关公式.最后,介绍了格林函数协变密度泛函理论的应用,包括利用GF-RMF理论研究原子核单粒子共振态,给出共振态的能量和宽度以及利用GF-RCHB理论研究丰中子Zr同位素的巨晕现象,给出密度空间分布的弥散性质以及对晕现象起着重要作用的共振态的能量和宽度等.
In this paper, the evolution of the Green function covariance density functional theory and its progress on the peculiar atomic nucleus structure are briefly introduced.Firstly, the paper briefly reviews the research status quo of the peculiar atomic nuclei and the problems encountered in the conventional theory when dealing with the continuum.After that, The basic formulas of function covariant density functional theory include the GF-RMF approximation of Green’s function and Hartree-Bogoliubov (GFRCHB) continuum of Green’s function relativistic continuum. The method of using Green’s function to solve radial Dirac Equation and RCHB equation.Finally, the application of covariance-density functional theory of Green’s function is introduced, including using the GF-RMF theory to study the single-particle resonance state of the nucleus, giving the energy and width of the resonance state, and using GF-RCHB theory Studying the giant halo phenomenon of the abundance Zr isotopes gives the diffusive properties of the density spatial distribution and the energy and width of the resonant states that play an important role in the halo phenomenon.