Chinese Physics C > 2022, Vol. 46 > Issue(10): 104108 DOI: 10.1088/1674-1137/ac7d44

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

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

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Abstract：
We propose and test a new method of estimating the model parameters of the phenomenological Bethe-Weizsäcker 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.
- Bethe-Weizsäcker mass formula,
- parameter uncertainty,
- potential energy surface calculation,
- maximum likelihood estimation,
- parameter correlation

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Hai-Yan Meng, Hua-Lei Wang, Zhen-Zhen Zhang and Min-Liang Liu. Discovery on new characterizations of parameter distributions in a semi-empirical mass model: an investigation by dividing an overdetermined system into numerous balanced subsystems[J]. Chinese Physics C. doi: 10.1088/1674-1137/ac7d44

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Received: 2022-06-25

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

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References

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