Discovery of new characterizations of parameter distributions in a semiempirical mass model:an investigation by dividing an overdetermined system into numerous balanced subsystems  

作　　者：Hai-Yan Meng Hua-Lei Wang Zhen-Zhen Zhang Min-Liang Liu 孟海燕;王华磊;张真真;柳敏良(School of Physics and Microelectronics,Zhengzhou University,Zhengzhou 450001,China;Key Laboratory of High Precision Nuclear Spectroscopy,Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China;School of Nuclear Science and Technology,University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]School of Physics and Microelectronics,Zhengzhou University,Zhengzhou 450001,China [2]Key Laboratory of High Precision Nuclear Spectroscopy,Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China [3]School of Nuclear Science and Technology,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Chinese Physics C》2022年第10期184-192,共9页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11975209,U2032211,12075287);the Physics Research and Development Program of Zhengzhou University(32410017);the Project of Youth Backbone Teachers of Colleges and Universities of Henan Province(2017GGJS008);the Polish National Science Centre(2016/21/B/ST2/01227)。

摘　　要：We propose and test a new method of estimating the model parameters of the phenomenological BetheWeizsacker mass formula.Based on the Monte Carlo sampling of a large dataset,we obtain,for the first time,a Cauchy-type parameter distribution formed by the exact solutions of linear equation systems.Using the maximum likelihood estimation,the location and scale parameters are evaluated.The estimated results are compared with those obtained by solving overdetermined systems,e.g.,the solutions of the traditional least-squares method.Parameter correlations and uncertainty propagation are briefly discussed.As expected,it is also found that improvements in theoretical modeling(e.g.,considering microscopic corrections)decrease the parameter and propagation uncertainties.

关 键 词：Bethe-Weizsacker mass formula parameter uncertainty potential energy surface calculation maximum likelihood estimation parameter correlation 

分 类 号：O571[理学—粒子物理与原子核物理]