Ma Weihu, Ma Yu-Gang, He Wanbing, Zhou Bo
Institute of Modern Physics, Fudan University, Shanghai 200433, People's Republic of China.
Key Laboratory of Nuclear Physics and Ion-Beam Application (MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China.
Chaos. 2024 Sep 1;34(9). doi: 10.1063/5.0213717.
We present an integral density method for calculating the multifractal dimension spectrum for nucleon distribution in atomic nuclei. This method is then applied to analyze the non-uniformity of density distribution in several typical types of nuclear matter distributions, including the Woods-Saxon distribution, halo structure, and tetrahedral α clustering. The subsequent discussion provides a comprehensive and detailed exploration of the results obtained. The multifractal dimension spectrum shows a remarkable sensitivity to the density distribution, establishing it as a simple and novel tool for studying the distribution of nucleons in nuclear multibody systems.
我们提出了一种积分密度方法，用于计算原子核中核子分布的多重分形维数谱。然后将该方法应用于分析几种典型核物质分布类型中的密度分布不均匀性，包括伍德 - 萨克斯分布、晕结构和四面体α团簇。随后的讨论对所得结果进行了全面而详细的探讨。多重分形维数谱对密度分布表现出显著的敏感性，使其成为研究核多体系统中核子分布的一种简单而新颖的工具。
