Uncertainty quantification and propagation in nuclear density functional theory
Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While ongoing eff orts seek to better root nuclear DFT in the theory of nuclear forces, energy functionals remain semiphenomenological constructions that depend on a set of parameters adjusted to experimental data in fi nite nuclei. In this study, we review recent eff orts to quantify the related uncertainties, and propagate them to model predictions. In particular, we cover the topics of parameter estimation for inverse problems, statistical analysis of model uncertainties and Bayesian inference methods. Illustrative examples are taken from the literature.
 Authors:

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^{[2]};
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 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Francis Marion Univ., Florence, SC (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Publication Date:
 Report Number(s):
 LLNLPROC668703
Journal ID: ISSN 14346001
 Grant/Contract Number:
 AC5207NA27344
 Type:
 Accepted Manuscript
 Journal Name:
 European Physical Journal. A
 Additional Journal Information:
 Journal Volume: 51; Journal Issue: 12; Conference: Presented at: Perspectives on Nuclear Data for the Next Decade, BruyeresleChatel (France), 1417 Oct 2014; Journal ID: ISSN 14346001
 Publisher:
 Springer
 Research Org:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
 OSTI Identifier:
 1184172
Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., and Wild, S. M.. Uncertainty quantification and propagation in nuclear density functional theory. United States: N. p.,
Web. doi:10.1140/epja/i2015151699.
Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., & Wild, S. M.. Uncertainty quantification and propagation in nuclear density functional theory. United States. doi:10.1140/epja/i2015151699.
Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., and Wild, S. M.. 2015.
"Uncertainty quantification and propagation in nuclear density functional theory". United States.
doi:10.1140/epja/i2015151699. https://www.osti.gov/servlets/purl/1184172.
@article{osti_1184172,
title = {Uncertainty quantification and propagation in nuclear density functional theory},
author = {Schunck, N. and McDonnell, J. D. and Higdon, D. and Sarich, J. and Wild, S. M.},
abstractNote = {Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While ongoing eff orts seek to better root nuclear DFT in the theory of nuclear forces, energy functionals remain semiphenomenological constructions that depend on a set of parameters adjusted to experimental data in fi nite nuclei. In this study, we review recent eff orts to quantify the related uncertainties, and propagate them to model predictions. In particular, we cover the topics of parameter estimation for inverse problems, statistical analysis of model uncertainties and Bayesian inference methods. Illustrative examples are taken from the literature.},
doi = {10.1140/epja/i2015151699},
journal = {European Physical Journal. A},
number = 12,
volume = 51,
place = {United States},
year = {2015},
month = {12}
}
Works referenced in this record:
SelfConsistent Equations Including Exchange and Correlation Effects
journal, November 1965
journal, November 1965
 Kohn, W.; Sham, L. J.
 Physical Review, Vol. 140, Issue 4A, p. A1133A1138