skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Uncertainty-quantified phenomenological optical potentials for single-nucleon scattering

Journal Article · · Physical Review. C

Optical-model potentials (OMPs) continue to play a key role in nuclear reaction calculations. However, the uncertainty of phenomenological OMPs in widespread use—inherent to any parametric model trained on data—has not been fully characterized, and its impact on downstream users of OMPs remains unclear. Here we assign well-calibrated uncertainties for two representative global OMPs, those of Koning-Delaroche and Chapel Hill '89, using Markov-chain Monte Carlo for parameter inference. By comparing the canonical versions of these OMPs against the experimental data originally used to constrain them, we show how a lack of outlier rejection and a systematic underestimation of experimental uncertainties contributes to bias of, and overconfidence in, best-fit parameter values. Our updated, uncertainty-quantified versions of these OMPs address these issues and yield complete covariance information for potential parameters. Scattering predictions generated from our ensembles show improved performance both against the original training corpora of experimental data and against a new “test” corpus comprising many of the experimental single-nucleon scattering data collected over the last twenty years. Finally, we apply our uncertainty-quantified OMPs to two case studies of application-relevant cross sections. We conclude that, for many common applications of OMPs, including OMP uncertainty should become standard practice. Furthermore, to facilitate their immediate use, digital versions of our updated OMPs and related tools for forward uncertainty propagation are included as Supplemental Material.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
2000821
Report Number(s):
LLNL-JRNL-835671; 1054769; TRN: US2405572
Journal Information:
Physical Review. C, Vol. 107, Issue 1; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (65)

Direct Comparison between Bayesian and Frequentist Uncertainty Quantification for Nuclear Reactions journal June 2019
Bound single-particle states and scattering of nucleons on spherical nuclei with a global optical model journal October 2007
Irreducible nonlocality of optical model potentials based on realistic NN interactions journal November 2018
Many-body theory of nuclear matter journal May 1976
Conception and Software Implementation of a Nuclear Data Evaluation Pipeline journal March 2021
Coupled reaction channels calculations in nuclear physics journal April 1988
The R -matrix theory journal February 2010
Learning about physical parameters: the importance of model discrepancy journal October 2014
Some Notes on Optical Model Calculations at Medium Energies journal March 1974
Ultraviolet suppression and nonlocality in optical model potentials for nucleon-nucleus scattering journal January 2021
Sensitivity studies for the weak r process: neutron capture rates journal April 2014
The isovector imaginary neutron potential: A key ingredient for the r-process nucleosynthesis journal September 2007
Proton capture cross section of Sr isotopes and their importance for nucleosynthesis of proton-rich nuclides journal November 2001
Effects of deformation on neutron total cross sections of even-ANd and Sm isotopes journal November 1980
Dispersive optical model analysis of Pb 208 generating a neutron-skin prediction beyond the mean field journal April 2020
Exact scattering waves off nonlocal potentials under Coulomb interaction within Schrödinger's integro-differential equation journal February 2019
emcee : The MCMC Hammer
  • Foreman-Mackey, Daniel; Hogg, David W.; Lang, Dustin
  • Publications of the Astronomical Society of the Pacific, Vol. 125, Issue 925 https://doi.org/10.1086/670067
journal March 2013
Template for estimating uncertainties of measured neutron-induced fission cross-sections journal January 2018
Nucleon scattering on actinides using a dispersive optical model with extended couplings journal December 2016
Minuit - a system for function minimization and analysis of the parameter errors and correlations journal December 1975
Isotopically resolved neutron total cross sections at intermediate energies journal September 2020
A Global Dispersive Coupled-Channel Optical Model Potential for Actinides journal April 2008
Recent developments for the optical model of nuclei journal March 2019
Applying a Template of Expected Uncertainties to Updating 239Pu(n,f) Cross-section Covariances in the Neutron Data Standards Database journal January 2020
Optical-model potential in finite nuclei from Reid's hard core interaction journal July 1977
Bayesian Monte Carlo method for nuclear data evaluation journal December 2015
Forging the Link between Nuclear Reactions and Nuclear Structure journal April 2014
Asymmetry dependence of nucleon correlations in spherical nuclei extracted from a dispersive-optical-model analysis journal June 2011
Derivation of an optical potential for statically deformed rare-earth nuclei from a global spherical potential journal February 2015
Investigating the link between proton reaction cross sections and the quenching of proton spectroscopic factors in 48Ca journal November 2019
Cross section measurements of proton capture reactions on Sr isotopes for astrophysics applications journal August 2021
Modern Nuclear Data Evaluation with the TALYS Code System journal December 2012
Experimental Nuclear Reaction Data Uncertainties: Basic Concepts and Documentation journal December 2012
Importance of isovector effects in reproducing neutron total cross section differences in the W isotopes journal April 2003
The 88 Sr ( p , γ ) 89 Y reaction at astrophysically relevant energies journal January 2003
Systematic Matter and Binding-Energy Distributions from a Dispersive Optical Model Analysis journal September 2020
Semimicroscopic nucleon-nucleus spherical optical model for nuclei with A >~ 40 at energies up to 200 MeV journal August 1998
Nucleon-Nucleus Optical-Model Parameters, A > 40 , E < 50 MeV journal June 1969
Analytical expressions for the dispersive contributions to the nucleon-nucleus optical potential journal June 2003
The Lagrange-mesh method journal March 2015
Local and global nucleon optical models from 1 keV to 200 MeV journal January 2003
Neutron total cross sections at intermediate energies journal January 1993
Dispersive and global spherical optical model with a local energy approximation for the scattering of neutrons by nuclei from1keVto200MeV journal July 2004
Symmetry energy III: Isovector skins journal February 2017
Global Microscopic Description of Nucleon-Nucleus Scattering with Quantified Uncertainties journal October 2021
Dispersive optical model description of nucleon scattering on Pb and Bi isotopes journal June 2020
Measurement of neutron total cross sections up to 560 MeV journal March 2001
A nuclear optical model code for small computers journal January 1973
Recent advances in the quantification of uncertainties in reaction theory journal December 2020
Systematic study of neutron capture including the compound, pre-equilibrium, and direct mechanisms journal August 2014
Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV journal July 2008
LISE++: Exotic beam production with fragment separators and their design journal June 2016
Bound single-particle states for neutrons from a global spherical optical model journal July 2006
Neutron skins of atomic nuclei: per aspera ad astra journal August 2019
Analog transitions in sd - and f -shell nuclei and the isovector part of optical potentials studied by the ( p , n ) reaction at 35 MeV journal August 1997
Novel applications of the dispersive optical model journal February 2017
IV.—On Least Squares and Linear Combination of Observations journal January 1936
Neutron absolute and total cross section difference measurements in the mass-140 region journal June 1984
Proton-Nucleus Total Reaction Cross Sections and Total Cross Sections Up to 1 GeV journal May 1996
Systematics of the semimicroscopic proton-nucleus optical potential at low energies relevant for nuclear astrophysics journal April 2021
Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold journal December 2013
Total neutron cross-sections for rare isotopes using a digital-signal-processing technique: Case study 48Ca
  • Shane, R.; Charity, R. J.; Elson, J. M.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 614, Issue 3 https://doi.org/10.1016/j.nima.2010.01.005
journal March 2010
Lane-consistent, semimicroscopic nucleon-nucleus optical model journal January 2001
A global nucleon optical model potential journal March 1991
Reaction cross sections for 65 MeV protons on targets from 9Be to 208Pb journal July 1999