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

• 来源期刊: 核技术（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: NUCLEAR PHYSICS AND INTERDISCIPLINARY RESEARCH
• 页码范围: 45-57
• 页数: 13页
• 语种: 英文

摘要

Based on the Monte Carlo approach and con-ventional 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 simula-tion 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.Fur-ther,the correlation properties of the single-particle levels within the domain of input parameter uncertainties are statistically analyzed,for example,with the aid of Pear-son'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 struc-tural calculations.