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

Zhang, Zhenzhen; Wang, H. L.; Meng, Hao; Liu, Minliang

doi:10.1007/s41365-021-00851-9

Cited by 7 publications

(6 citation statements)

References 61 publications

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“…By considering two sets of frequently used WS potential parameters, we present the calculated quadrupole deformation β 2 and hexadecapole deformation β 4 in table 3 for nine eveneven nuclei on the selected β 4 deformation island (see figure 3 in [34] for a systematic comparision with more data). As seen above, e.g.…”

Section: Resultsmentioning

confidence: 99%

“…Moreover, the MM models never stop developing, including the microscopic and macroscopic parts, e.g. cf [25,[32][33][34][35]. Part of the aims in this work are listed below: (1) to reproduce nuclear quadrupole deformations with two sets of Woods-Saxon (WS) parameters, and provide a comparison with experimental data and other theoretical results; (2) to improve the description of nuclear masses, by comparing with the results with and without consideration of the hexadecapole deformation; (3) to test the WS parameter sets and the present MM method to some extent.…”

Section: Introductionmentioning

confidence: 99%

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Revisiting the island of hexadecapole-deformation nuclei in the A ≈ 150 mass region: focusing on the model application to nuclear shapes and masses

Wei,

Wang,

Zhang

et al. 2024

Commun. Theor. Phys.

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Based on the potential-energy-surface calculation, the impact of different deformation degrees of freedom on single-particle structure and binding energies in nuclei around $^{152}$Nd, located on one of the hexadecapole-deformation islands, is analyzed in a multi-dimensional deformation space. Various energy maps, curves and tables are presented to indicate nuclear properties. The calculated equilibrium deformations and binding energies with different potential parameters are compared with experimental data and other theories. It is found that the inclusion of the hexadecapole deformations, especially the axial one, can improve the theoretical description of both nuclear shapes and masses. In addition, our calculated potential-energy-curve shows that there exists a critical deformation-point $\beta_2 \approx 0.4$ -- the triaxial (hexadecapole) deformation-effect can be neglectable but the hexadecapole (triaxial) one plays an important role before (after) such critical point.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Revisiting the island of hexadecapole-deformation nuclei in the A ≈ 150 mass region: focusing on the model application to nuclear shapes and masses

Wei,

Wang,

Zhang

et al. 2024

Commun. Theor. Phys.

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“…For a nucleus, the equilibrium shape in the ground state is indicated by , which can be obtained by a standard potential-energy-surface calculation (e.g., see Refs. [22][23][24][25] and references therein). The deformation correction energy is calculated using [26,27]…”

Section: Theoretical Methodsmentioning

confidence: 99%

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

Meng¹,

Wang²,

Zhang³

et al. 2022

Chinese Phys. C

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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.

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“…A simple technique for quantitatively assessing the importance of input parameters is based on the calculation of 'raw' correlation coefficients: the simple (i.e., Pearson) and the partial one [29,30]. Additional techniques would be based on rank correlation coefficients, obtained when the numerical values of the magnitudes are replaced by their rank A simple technique for quantitatively assessing the importance of input parameters is based on the calculation of 'raw' correlation coefficients: the simple (i.e., Pearson) and the partial one [29,30]. Additional techniques would be based on rank correlation coefficients, obtained when the numerical values of the magnitudes are replaced by their rank [11].…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…However, some negative correlations with PCT are obtained for the parameters such as discharge coefficient in the break, gap conductance, initial condition of ACC, and pressure of RCS. A simple technique for quantitatively assessing the importance of input parameters is based on the calculation of 'raw' correlation coefficients: the simple (i.e., Pearson) and the partial one [29,30]. Additional techniques would be based on rank correlation coefficients, obtained when the numerical values of the magnitudes are replaced by their rank [11].…”

Section: Sensitivity Analysismentioning

confidence: 99%

BEPU Analysis in LBLOCA Safety Review Calculation

Sun

Wang

et al. 2021

Sustainability

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Deterministic safety analysis (DSA) is essential for nuclear power plant licensing. The conservative method followed CFR50 Appendix K, which will lead to a large margin. As one of the DSA methodologies, best estimate plus uncertainty (BEPU) generates more realistic results that can be used in the license application of nuclear power plants (NPPs). However, uncertainty evaluation of parameters is needed in BEPU. In this article, the safety regulatory focuses on the large break loss of coolant accident (LBLOCA) of an advanced PWR. The BEPU analysis is mainly performed by TRACE V5.0 patch 4 code, and the uncertainty analysis is conducted based on DAKOTA code. For correlation coefficients analysis, the sample size is enlarged reasonably. According to the results, this NPP meets the acceptance criteria effectively in LBLOCA with enough margin. By statistic assessment, the set of PCTs calculated has typical normal distribution characters. Based on BEPU, the uncertainties of parameters are studied. Additionally, the influence of sample size on the correlation of parameters is considered too. It could be seen that more samples could permit a more accurate estimation for Spearman partial correlation coefficient (abbreviated as SPCC). The conclusions of this article can provide technical support for the subsequent review of the safety analysis report and the design changes of NPPs.

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

Cited by 7 publications

References 61 publications

Revisiting the island of hexadecapole-deformation nuclei in the A ≈ 150 mass region: focusing on the model application to nuclear shapes and masses

Revisiting the island of hexadecapole-deformation nuclei in the A ≈ 150 mass region: focusing on the model application to nuclear shapes and masses

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

BEPU Analysis in LBLOCA Safety Review Calculation

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