Uncertainty quantification of an empirical shell-model interaction using principal component analysis

Jordan M. R. Fox, Calvin W. Johnson, and Rodrigo Navarro Perez
Phys. Rev. C 101, 054308 – Published 12 May 2020
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Abstract

Recent investigations have emphasized the importance of uncertainty quantification (UQ) in nuclear theory. We carry out UQ for configuration-interaction shell-model calculations in the 1s0d valence space, investigating the sensitivity of observables to perturbations in the 66 parameters (matrix elements) of a high-quality empirical interaction. The large parameter space makes computing the corresponding Hessian numerically costly, so we compare a cost-effective approximation, using the Feynman-Hellmann theorem, to the full Hessian and find it works well. Diagonalizing the Hessian yields the principal components of the interaction: linear combinations of parameters ordered by sensitivity. This approximately decoupled distribution of parameters facilitates theoretical uncertainty propagation onto structure observables: electromagnetic transitions, Gamow-Teller decays, and dark matter-nucleus scattering matrix elements.

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  • Received 19 February 2020
  • Accepted 27 April 2020

DOI:https://doi.org/10.1103/PhysRevC.101.054308

©2020 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Jordan M. R. Fox*, Calvin W. Johnson, and Rodrigo Navarro Perez

  • San Diego State University, San Diego, California 92182, USA

  • *jfox@sdsu.edu
  • cjohnson@sdsu.edu
  • rnavarroperez@sdsu.edu

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Issue

Vol. 101, Iss. 5 — May 2020

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