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Multifractal dimension spectrum analysis for nuclear density distribution
Weihu Ma1, Yu-Gang Ma2,3, Wanbing He2
1Institute of Modern Physics, Fudan University, Shanghai 200433, People's Republic of China.
Abstract:
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.
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