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

Abstract

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.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Michigan State Univ., East Lansing, MI (United States)
  3. Washington Univ., St. Louis, MO (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
OSTI Identifier:
1739999
Report Number(s):
LA-UR-20-24349
Journal ID: ISSN 0954-3899; TRN: US2205421
Grant/Contract Number:  
89233218CNA000001; FG52-08NA28552; PHY-1403906
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. G, Nuclear and Particle Physics
Additional Journal Information:
Journal Volume: 48; Journal Issue: 1; Journal ID: ISSN 0954-3899
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; nuclear reactions; optical potentials; transfer reactions; uncertainty quantification; Bayesian methods

Citation Formats

Lovell, Amy, Nunes, Filomena M., Catacora-Rios, Manuel, and King, Garrett. Recent advances in the quantification of uncertainties in reaction theory. United States: N. p., 2020. Web. doi:10.1088/1361-6471/abba72.
Lovell, Amy, Nunes, Filomena M., Catacora-Rios, Manuel, & King, Garrett. Recent advances in the quantification of uncertainties in reaction theory. United States. https://doi.org/10.1088/1361-6471/abba72
Lovell, Amy, Nunes, Filomena M., Catacora-Rios, Manuel, and King, Garrett. Mon . "Recent advances in the quantification of uncertainties in reaction theory". United States. https://doi.org/10.1088/1361-6471/abba72. https://www.osti.gov/servlets/purl/1739999.
@article{osti_1739999,
title = {Recent advances in the quantification of uncertainties in reaction theory},
author = {Lovell, Amy and Nunes, Filomena M. and Catacora-Rios, Manuel and King, Garrett},
abstractNote = {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.},
doi = {10.1088/1361-6471/abba72},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 1,
volume = 48,
place = {United States},
year = {Mon Sep 21 00:00:00 EDT 2020},
month = {Mon Sep 21 00:00:00 EDT 2020}
}

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