摘要
基于实验最新数据,对原子核电荷半径经验公式进行理论误差分析.对A1/3律和Z1/3律单参数公式,以及两参数、三参数等公式的参数进行拟合.根据壳效应及奇偶摆动现象,在原有三参数公式的基础上加入Casten因子项和δ项的电荷半径公式,计算核半径实验值与理论值之间的均方根偏差,利用回归分析法得到相关参数,并比较诸多公式之间参数的准确性,研究各公式的理论误差.研究发现,原子核电荷半径受很多因素影响,且考虑的参数越多,相应的公式在描述原子核电荷半径方面更准确,其中,同位旋效应对原子核半径影响较大;壳效应只在某一范围内影响较突出;奇偶摆动对原子核电荷半径影响较小.
By investigating the empirical formula of nuclear charge radii,we have done the theoretical error analysis for the new data.We fitted the empirical formula of nuclear charge radius based on the A1/3's law and Z1/3's law,as well as two parameters,three parameter formulae and other parameters formula which have added the Casten-factor term and the delta term to consider the shell effect and the even-odd staggering phenomena.The root-mean-square deviation of nuclear charge radius between the experimental data and the theoretical results are calculated,which is used to evaluate the accuracy of the formula.With the regression analysis method,the parameter of different formulas are obtained and compared,and the theoretical error analysis has been done.We have found that the nuclear charge radii are influenced by many effect,and the empirical formula with more parameters describe the nuclear charge radii better.Isospin effect influences the result a lot.Shell effect only plays the important roles in the special regions.Odd-even staggering rarely changes the result.
作者
陶烨
王小保
董国香
TAO Ye;WANG Xiaobao;DONG Guoxiang(School of Science, Huzhou University, Huzhou 313000, China)
出处
《湖州师范学院学报》
2020年第4期24-30,共7页
Journal of Huzhou University
基金
国家自然科学基金项目(11605054、U1732138、11505056)
湖州师范学院教学改革项目(JGB16024).
关键词
电荷半径
经验公式
回归分析
charge radius
empirical formula
regression analysis
