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

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.

arXiv comment23 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/

References in corpus (41)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Equation of state and neutron star properties constrained by nuclear physics and observation
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Nuclear effective field theory: status and perspectives
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• How well do we know the neutron-matter equation of state at the densities inside neutron stars? A Bayesian approach with correlated uncertainties
• Quantifying truncation errors in effective field theory
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Coupled-cluster calculations of nucleonic matter
• Ab Initio Path to Heavy Nuclei
• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
• Quantifying Correlated Truncation Errors in Effective Field Theory
• Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• Microscopic calculations and energy expansions for neutron-rich matter
• Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral EFT
• Bayesian parameter estimation for effective field theories
• Meaningful characterisation of perturbative theoretical uncertainties
• Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach
• Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
• Symmetric nuclear matter from the strong interaction
• Delta isobars and nuclear saturation
• Nuclear and neutron-star matter from local chiral interactions
• Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Nuclear thermodynamics from chiral low-momentum interactions
• Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Coupled-cluster studies of infinite nuclear matter
• Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
• New Ideas in Constraining Nuclear Forces
• Bayesian truncation errors in equations of state of nuclear matter with chiral nucleon-nucleon potentials

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