Quantifying uncertainties and correlations in the nuclear-matter equation of state

Drischler, C.; Melendez, J. A.; Furnstahl, R. J.; Phillips, D. R.

doi:10.1103/PhysRevC.102.054315

Quantifying uncertainties and correlations in the nuclear-matter equation of state

Journal Article · Wed Nov 11 00:00:00 EST 2020 · Physical Review. C

DOI:https://doi.org/10.1103/PhysRevC.102.054315· OSTI ID:2877022

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University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
The Ohio State University, Columbus, OH (United States)
Ohio University, Athens, OH (United States)

We perform statistically rigorous uncertainty quantification (UQ) for chiral effective field theory (χ EFT) applied to infinite nuclear matter up to twice nuclear saturation density. The equation of state (EOS) is based on high-order many-body perturbation theory calculations with nucleon-nucleon and three-nucleon interactions up to fourth order in the χ EFT expansion. From these calculations our newly developed Bayesian machine-learning approach extracts the size and smoothness properties of the correlated EFT truncation error. Furthermore, we then propose a novel extension that uses multitask machine learning to reveal correlations between the EOS at different proton fractions. The inferred in-medium χ EFT breakdown scale in pure neutron matter and symmetric nuclear matter is consistent with that from free-space nucleon-nucleon scattering. These significant advances allow us to provide posterior distributions for the nuclear saturation point and propagate theoretical uncertainties to derived quantities: the pressure and incompressibility of symmetric nuclear matter, the nuclear symmetry energy, and its derivative. Our results, which are validated by statistical diagnostics, demonstrate that an understanding of truncation-error correlations between different densities and different observables is crucial for reliable UQ. The methods developed here are publicly available as annotated Jupyter notebooks.

View Accepted Manuscript (DOE)

Research Organization:: Michigan State University, East Lansing, MI (United States); Ohio Univ., Athens, OH (United States); University of California, Berkeley, CA (United States)

Sponsoring Organization:: National Science Foundation; National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231; FG02-93ER40756; SC0004658; SC0013617

OSTI ID:: 2877022

Alternate ID(s):: OSTI ID: 2319000
OSTI ID: 1798955

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 5 Vol. 102; ISSN 2469-9985; ISSN 2469-9993

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Quantifying uncertainties and correlations in the nuclear-matter equation of state

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