Uncertainty evaluation and correlation analysis of single-particle energies in phenomenological nuclear mean field: an investigation into propagating uncertainties for independent model parameters

doi:10.1007/s41365-021-00851-9

	Uncertainty evaluation and correlation analysis of single-particle energies in phenomenological nuclear mean field: an investigation into propagating uncertainties for independent model parameters
	Zhang, Zhen-Zhen 1; Wang, Hua-Lei 1; Meng, Hai-Yan 1; Liu, Min-Liang 2
刊名	NUCLEAR SCIENCE AND TECHNIQUES
	2021-02-15
卷号	32 期号:2 页码:13
关键词	Uncertainty propagation Correlation effect Woods-Saxon potential
ISSN号	1001-8042
DOI	10.1007/s41365-021-00851-9
通讯作者	Wang, Hua-Lei(wanghualei@zzu.edu.cn)
英文摘要	Based on the Monte Carlo approach and conventional error analysis theory, taking the heaviest doubly magic nucleus 208Pb as an example, we first evaluate the propagated uncertainties of universal potential parameters for three typical types of single-particle energy in the phenomenological Woods-Saxon mean field. Accepting the Woods-Saxon modeling with uncorrelated model parameters, we found that the standard deviations of single-particle energy obtained through the Monte Carlo simulation and the error propagation rules are in good agreement. It seems that the energy uncertainty of the single-particle levels regularly evoluate with certain quantum numbers to a large extent for the given parameter uncertainties. Further, the correlation properties of the single-particle levels within the domain of input parameter uncertainties are statistically analyzed, for example, with the aid of Pearson's correlation coefficients. It was found that a positive, negative, or unrelated relationship may appear between two selected single-particle levels, which will be extremely helpful for evaluating the theoretical uncertainty related to the single-particle levels (e.g., K isomer) in nuclear structural calculations.
资助项目	National Natural Science Foundation of China[11975209] ; Physics Research and Development Program of Zhengzhou University[32410017] ; Project of Youth Backbone Teachers of Colleges and Universities of Henan Province[2017GGJS008]
WOS研究方向	Nuclear Science & Technology ; Physics
语种	英语
出版者	SPRINGER SINGAPORE PTE LTD
WOS记录号	WOS:000620499200003
资助机构	National Natural Science Foundation of China ; Physics Research and Development Program of Zhengzhou University ; Project of Youth Backbone Teachers of Colleges and Universities of Henan Province
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/137861]
专题	中国科学院近代物理研究所
通讯作者	Wang, Hua-Lei
作者单位	1.Zhengzhou Univ, Sch Phys & Microelect, Zhengzhou 450001, Peoples R China 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhen-Zhen,Wang, Hua-Lei,Meng, Hai-Yan,et al. Uncertainty evaluation and correlation analysis of single-particle energies in phenomenological nuclear mean field: an investigation into propagating uncertainties for independent model parameters[J]. NUCLEAR SCIENCE AND TECHNIQUES,2021,32(2):13.
APA	Zhang, Zhen-Zhen,Wang, Hua-Lei,Meng, Hai-Yan,&Liu, Min-Liang.(2021).Uncertainty evaluation and correlation analysis of single-particle energies in phenomenological nuclear mean field: an investigation into propagating uncertainties for independent model parameters.NUCLEAR SCIENCE AND TECHNIQUES,32(2),13.
MLA	Zhang, Zhen-Zhen,et al."Uncertainty evaluation and correlation analysis of single-particle energies in phenomenological nuclear mean field: an investigation into propagating uncertainties for independent model parameters".NUCLEAR SCIENCE AND TECHNIQUES 32.2(2021):13.