Universal reduced basis for the calibration of covariant energy density functionals

The reduced basis method is used to construct a ``universal'' basis of Dirac orbitals that may be applicable throughout the nuclear chart to calibrate covariant energy density functionals. Relative to the successful development of a reduced basis emulator for the nonrelativistic Schr"odinger equation, the Dirac equation adds an extra layer of complexity due to the existence of negative energy states, which complicates building an efficient reduced basis. However, once this problem is mitigated, the resulting reduced basis is able to accurately and efficiently reproduce the high-fidelity model at a fraction of the computational cost. We are confident that the resulting reduced basis will serve as a foundational element in developing rapid and accurate emulators. In turn, these emulators will play a critical role in the Bayesian optimization of covariant energy density functionals.

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Publication Details

Journal
Physical review. C
Published
2024-10-10
DOI
https://doi.org/10.1103/physrevc.110.044309
Citations
1
Primary Topic
Nuclear physics research studies
Type
article
Field-Weighted Citation Impact
0.66

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article

Universal reduced basis for the calibration of covariant energy density functionals

J. Piekarewicz, Amy L. Anderson
1 citations
Physical review. C
Nuclear physics research studies
0.66
article

Universal reduced basis for the calibration of covariant energy density functionals

J. Piekarewicz, Amy L. Anderson
article en
1 citations

Abstract

The reduced basis method is used to construct a ``universal'' basis of Dirac orbitals that may be applicable throughout the nuclear chart to calibrate covariant energy density functionals. Relative to the successful development of a reduced basis emulator for the nonrelativistic Schr\"odinger equation, the Dirac equation adds an extra layer of complexity due to the existence of negative energy states, which complicates building an efficient reduced basis. However, once this problem is mitigated, the resulting reduced basis is able to accurately and efficiently reproduce the high-fidelity model at a fraction of the computational cost. We are confident that the resulting reduced basis will serve as a foundational element in developing rapid and accurate emulators. In turn, these emulators will play a critical role in the Bayesian optimization of covariant energy density functionals.

Physical review. CVol. 110(4)
Florida State University (US)
U.S. Department of Energy, Nuclear Physics
Affordable and clean energy
Openalex Percentile: Top 14%
Nuclear physics research studies
0.66
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