Uncertainty quantification and propagation in nuclear density functional theory

Schunck, N.; McDonnell, J. D.; Higdon, D.; Sarich, J.; Wild, S. M.

doi:10.1140/epja/i2015-15169-9

Title: Uncertainty quantification and propagation in nuclear density functional theory

Journal Article · 23 December 2015 · European Physical Journal. A

DOI: https://doi.org/10.1140/epja/i2015-15169-9 · OSTI ID:1184172

Schunck, N. ^[1]; McDonnell, J. D. ^[2]; Higdon, D. ^[3]; Sarich, J. ^[4]; Wild, S. M. ^[4]

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)

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 on-going eff orts seek to better root nuclear DFT in the theory of nuclear forces, energy functionals remain semi-phenomenological 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.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1184172

Report Number(s):: LLNL-PROC-668703

Journal Information:: European Physical Journal. A, Vol. 51, Issue 12; Conference: Presented at: Perspectives on Nuclear Data for the Next Decade, Bruyeres-le-Chatel (France), 14-17 Oct 2014; ISSN 1434-6001

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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