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Quantifying uncertainties and correlations in the nuclear-matter equation of state
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
Abstract
- We perform statistically rigorous uncertainty quantification (UQ) for chiral effective field theory ($\chi$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 $\chi$EFT expansion. From these calculations our newly developed Bayesian machine-learning approach extracts the size and smoothness properties of the correlated EFT truncation error. 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 $\chi$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.<br />Comment: 23 pages, 21 figures, 4 tables, supplemental material; close to the published version; minor corrections and additional table summarizing the main results; Jupyter notebooks for reproducing the results and figures can be found at https://buqeye.github.io/software/
- Subjects :
- Physics
High Energy Astrophysical Phenomena (astro-ph.HE)
Truncation error
Nuclear Theory
010308 nuclear & particles physics
Equation of state (cosmology)
FOS: Physical sciences
Observable
Nuclear matter
01 natural sciences
Nuclear Theory (nucl-th)
High Energy Physics - Phenomenology
High Energy Physics - Phenomenology (hep-ph)
0103 physical sciences
Effective field theory
Neutron
Perturbation theory (quantum mechanics)
Nuclear Experiment (nucl-ex)
Astrophysics - High Energy Astrophysical Phenomena
010306 general physics
Nuclear Experiment
Energy (signal processing)
Mathematical physics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....3ba4cc578b2f6ba13571f6a8306332f5
- Full Text :
- https://doi.org/10.48550/arxiv.2004.07805