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Title: Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus

Abstract

We perform a global sensitivity analysis of the binding energy and the charge radius of the nucleus 16O to identify the most influential low-energy constants in the next-to-next-to-leading order chiral Hamiltonian with two- and three-nucleon forces. For this purpose, we develop a subspace-projected coupled-cluster method using eigenvector continuation [Frame D. et al., Phys. Rev. Lett. 121, 032501 (2018)]. With this method, we compute the binding energy and charge radius of 16O at more than 106 different values of the 16 low-energy constants in one hour on a standard laptop computer. For relatively small subspace projections, the root-mean-square error is about 1% compared to full-space coupled-cluster results. We find that 58(1)% of the variance in energy can be apportioned to a single contact term in the 3S1 wave, whereas the radius depends sensitively on several low-energy constants and their higher-order correlations. The results identify the most important parameters for describing nuclear saturation and help prioritize efforts for uncertainty reduction of theoretical predictions. The achieved acceleration opens up an array of computational statistics analyses of the underlying description of the strong nuclear interaction in nuclei across the Segrè chart.

Authors:
 [1]; ORCiD logo [2]
  1. Chalmers Univ. of Technology, Goteburg (Sweden)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1632066
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 123; Journal Issue: 25; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Ekström, Andreas, and Hagen, Gaute. Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevLett.123.252501.
Ekström, Andreas, & Hagen, Gaute. Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus. United States. https://doi.org/10.1103/PhysRevLett.123.252501
Ekström, Andreas, and Hagen, Gaute. Fri . "Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus". United States. https://doi.org/10.1103/PhysRevLett.123.252501. https://www.osti.gov/servlets/purl/1632066.
@article{osti_1632066,
title = {Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus},
author = {Ekström, Andreas and Hagen, Gaute},
abstractNote = {We perform a global sensitivity analysis of the binding energy and the charge radius of the nucleus 16O to identify the most influential low-energy constants in the next-to-next-to-leading order chiral Hamiltonian with two- and three-nucleon forces. For this purpose, we develop a subspace-projected coupled-cluster method using eigenvector continuation [Frame D. et al., Phys. Rev. Lett. 121, 032501 (2018)]. With this method, we compute the binding energy and charge radius of 16O at more than 106 different values of the 16 low-energy constants in one hour on a standard laptop computer. For relatively small subspace projections, the root-mean-square error is about 1% compared to full-space coupled-cluster results. We find that 58(1)% of the variance in energy can be apportioned to a single contact term in the 3S1 wave, whereas the radius depends sensitively on several low-energy constants and their higher-order correlations. The results identify the most important parameters for describing nuclear saturation and help prioritize efforts for uncertainty reduction of theoretical predictions. The achieved acceleration opens up an array of computational statistics analyses of the underlying description of the strong nuclear interaction in nuclei across the Segrè chart.},
doi = {10.1103/PhysRevLett.123.252501},
journal = {Physical Review Letters},
number = 25,
volume = 123,
place = {United States},
year = {2019},
month = {12}
}

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