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Title: Uncertainty quantification for optical model parameters

Abstract

Although uncertainty quantification has been making its way into nuclear theory, these methods have yet to be explored in the context of reaction theory. For example, it is well known that different parameterizations of the optical potential can result in different cross sections, but these differences have not been systematically studied and quantified. The purpose of our work is to investigate the uncertainties in nuclear reactions that result from fitting a given model to elastic-scattering data, as well as to study how these uncertainties propagate to the inelastic and transfer channels. We use statistical methods to determine a best fit and create corresponding 95% confidence bands. A simple model of the process is fit to elastic-scattering data and used to predict either inelastic or transfer cross sections. In this initial work, we assume that our model is correct, and the only uncertainties come from the variation of the fit parameters. Here, we study a number of reactions involving neutron and deuteron projectiles with energies in the range of 5–25 MeV/u, on targets with mass A=12–208. We investigate the correlations between the parameters in the fit. The case of deuterons on 12C is discussed in detail: the elastic-scattering fit and themore » prediction of 12C(d,p)13C transfer angular distributions, using both uncorrelated and correlated χ2 minimization functions. The general features for all cases are compiled in a systematic manner to identify trends. This work shows that, in many cases, the correlated χ2 functions (in comparison to the uncorrelated χ2 functions) provide a more natural parameterization of the process. These correlated functions do, however, produce broader confidence bands. Further optimization may require improvement in the models themselves and/or more information included in the fit.« less

Authors:
 [1];  [1];  [2];  [2]
  1. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. Dept. of Physics and Astronomy
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Mathematics and Computer Science Division
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States); Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
OSTI Identifier:
1357088
Alternate Identifier(s):
OSTI ID: 1344597; OSTI ID: 1368560
Grant/Contract Number:  
NA0002135; FG52-08NA28552; AC02-06CH11357; PHY-1403906; PHY-1520929
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 2; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; uncertainty quantification; elastic scattering; inelastic scattering; transfer reactions; direct reaction theory

Citation Formats

Lovell, A. E., Nunes, F. M., Sarich, J., and Wild, S. M. Uncertainty quantification for optical model parameters. United States: N. p., 2017. Web. https://doi.org/10.1103/PhysRevC.95.024611.
Lovell, A. E., Nunes, F. M., Sarich, J., & Wild, S. M. Uncertainty quantification for optical model parameters. United States. https://doi.org/10.1103/PhysRevC.95.024611
Lovell, A. E., Nunes, F. M., Sarich, J., and Wild, S. M. Tue . "Uncertainty quantification for optical model parameters". United States. https://doi.org/10.1103/PhysRevC.95.024611. https://www.osti.gov/servlets/purl/1357088.
@article{osti_1357088,
title = {Uncertainty quantification for optical model parameters},
author = {Lovell, A. E. and Nunes, F. M. and Sarich, J. and Wild, S. M.},
abstractNote = {Although uncertainty quantification has been making its way into nuclear theory, these methods have yet to be explored in the context of reaction theory. For example, it is well known that different parameterizations of the optical potential can result in different cross sections, but these differences have not been systematically studied and quantified. The purpose of our work is to investigate the uncertainties in nuclear reactions that result from fitting a given model to elastic-scattering data, as well as to study how these uncertainties propagate to the inelastic and transfer channels. We use statistical methods to determine a best fit and create corresponding 95% confidence bands. A simple model of the process is fit to elastic-scattering data and used to predict either inelastic or transfer cross sections. In this initial work, we assume that our model is correct, and the only uncertainties come from the variation of the fit parameters. Here, we study a number of reactions involving neutron and deuteron projectiles with energies in the range of 5–25 MeV/u, on targets with mass A=12–208. We investigate the correlations between the parameters in the fit. The case of deuterons on 12C is discussed in detail: the elastic-scattering fit and the prediction of 12C(d,p)13C transfer angular distributions, using both uncorrelated and correlated χ2 minimization functions. The general features for all cases are compiled in a systematic manner to identify trends. This work shows that, in many cases, the correlated χ2 functions (in comparison to the uncorrelated χ2 functions) provide a more natural parameterization of the process. These correlated functions do, however, produce broader confidence bands. Further optimization may require improvement in the models themselves and/or more information included in the fit.},
doi = {10.1103/PhysRevC.95.024611},
journal = {Physical Review C},
number = 2,
volume = 95,
place = {United States},
year = {2017},
month = {2}
}

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    Works referencing / citing this record:

    Exploring experimental conditions to reduce uncertainties in the optical potential
    journal, December 2019