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

Title: Recent advances in the quantification of uncertainties in reaction theory

Journal Article · · Journal of Physics. G, Nuclear and Particle Physics

Uncertainty quantification has become increasingly more prominent in nuclear physics over the past several years. In few-body reaction theory, there are four main sources that contribute to the uncertainties in the calculated observables: the effective potentials, approximations made to the few-body problem, structure functions, and degrees of freedom left out of the model space. In this work, we illustrate some of the features that can be obtained when modern statistical tools are applied in the context of nuclear reactions. This work consists of a summary of the progress that has been made in quantifying theoretical uncertainties in this domain, focusing primarily on those uncertainties coming from the effective optical potential as well as their propagation within various reaction theories. We use, as the central example, reactions on the doubly-magic stable nucleus 40Ca, namely neutron and proton elastic scattering and single-nucleon transfer 40Ca(d,p)41Ca. First, we show different optimization schemes used to constrain the optical potential from differential cross sections and other experimental constraints; we then discuss how these uncertainties propagate to the transfer cross section, comparing two reaction theories. Finally, we finish by laying out our future plans.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
Grant/Contract Number:
89233218CNA000001; FG52-08NA28552; PHY-1403906
OSTI ID:
1739999
Report Number(s):
LA-UR-20-24349; TRN: US2205421
Journal Information:
Journal of Physics. G, Nuclear and Particle Physics, Vol. 48, Issue 1; ISSN 0954-3899
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

Analyzing power and differential cross section at 9.9, 11.9 and 13.9 MeV for Ca(n, n)Ca journal September 1982
The scattering of 14.1 MeV neutrons by Ca40 journal October 1964
Theory of deuteron stripping and pick-up reactions for nuclear structure studies journal March 2020
Bayes in the sky: Bayesian inference and model selection in cosmology journal March 2008
One-nucleon removal reactions as a test of overlap functions from the one-body density matrix calculations journal November 1997
A new approach to a “model-independent” optical potential and its application to proton elastic scattering near the (p,n) threshold energy region journal March 1996
Equation of State Calculations by Fast Computing Machines journal June 1953
Monte Carlo sampling methods using Markov chains and their applications journal April 1970
Uncertainty quantification and propagation in nuclear density functional theory journal December 2015
Generator coordinate method calculations of one-nucleon removal reactions on 40 Ca journal June 2001
Bayesian methods for parameter estimation in effective field theories journal March 2009
Quantifying uncertainties on fission fragment mass yields with mixture density networks journal September 2020
Nuclear charge radii: density functional theory meets Bayesian neural networks journal October 2016
Bayesian parameter estimation for effective field theories journal May 2016
Transfer reaction code with nonlocal interactions journal October 2016
Systematic uncertainties in direct reaction theories journal February 2015

Similar Records

Uncertainty quantification for optical model parameters
Journal Article · Tue Feb 21 00:00:00 EST 2017 · Physical Review C · OSTI ID:1739999

Uncertainty quantification due to optical potentials in models for ( d,p ) reactions
Journal Article · Fri Oct 26 00:00:00 EDT 2018 · Physical Review C · OSTI ID:1739999

Constraining transfer cross sections using Bayes' theorem
Journal Article · Thu Jun 21 00:00:00 EDT 2018 · Physical Review C · OSTI ID:1739999