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 ${}^{16}$O 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 ${}^{16}$O at more than one million different values of the 16 low-energy constants in one hour on a standard laptop. 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 the energy can be apportioned to a single contact-term in the ${}^3{S}_1$-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 for an array of computational statistics analyses of the underlying description of the strong nuclear interaction in nuclei across the Segré chart.

arXiv comment6 pages, 3 figures, Supplemental Material provided as ancillary material

References in corpus (39)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Coupled-cluster computations of atomic nuclei
• Accurate nuclear radii and binding energies from a chiral interaction
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Charge, neutron, and weak size of the atomic nucleus
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• Effective Field Theory of Nuclear Forces
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Saturation with chiral interactions and consequences for finite nuclei
• Ab initio alpha-alpha scattering
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• Novel chiral Hamiltonian and observables in light and medium-mass nuclei
• Neutron drip line in the Ca region from Bayesian model averaging
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Low-momentum interaction in few-nucleon systems
• Eigenvector continuation with subspace learning
• Coupled cluster approach to nuclear physics
• Structure of ${}^{78}$Ni from first principles computations
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
• Probing the N = 32 shell closure below the magic proton number Z = 20: Mass measurements of the exotic isotopes 52,53K
• Bayesian parameter estimation for effective field theories
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Delta isobars and nuclear saturation
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
• Essential elements for nuclear binding
• How Robust is the N = 34 Subshell Closure? First Spectroscopy of ${}^{52}$Ar
• Ab initio calculation of the potential bubble nucleus ${}^{34}$Si
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Microscopic calculation of the inclusive electron scattering structure function in O-16
• N-electron Slater determinants from non-unitary canonical transformations of fermion operators

Cited by in corpus (73)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Machine Learning in Nuclear Physics
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• What is ab initio in nuclear theory?
• Efficient emulators for scattering using eigenvector continuation
• Ab initio computation of charge densities for Sn and Xe isotopes
• Nuclear masses learned from a probabilistic neural network
• Improved many-body expansions from eigenvector continuation
• Toward emulating nuclear reactions using eigenvector continuation
• New Ideas in Constraining Nuclear Forces
• Model reduction methods for nuclear emulators
• Fast & accurate emulation of two-body scattering observables without wave functions
• Eigenvector Continuation and Projection-Based Emulators
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Convergence of Eigenvector Continuation
• Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report
• Power counting in chiral effective field theory and nuclear binding
• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
• Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition
• Fast emulation of quantum three-body scattering
• Multiscale physics of atomic nuclei from first principles
• Self-learning Emulators and Eigenvector Continuation
• Spectral density reconstruction with Chebyshev polynomials
• Bayesian parameter estimation in $\chi$EFT using Hamiltonian Monte Carlo
• Eigenvector continuation for emulating and extrapolating two-body resonances
• Excited states from eigenvector continuation: the anharmonic oscillator
• Ab initio informed evaluation of the radiative capture of protons on ${}^7$Be
• On the Extraction of Low-energy Constants of Single- and Double-$\beta$ Decays from Lattice QCD: A Sensitivity Analysis
• Emulating \emph{ab initio} computations of infinite nucleonic matter
• Statistical tools for a better optical model
• Uncertainty quantification of an empirical shell-model interaction using principal component analysis
• IMSRG with flowing 3 body operators, and approximations thereof
• Laser spectroscopy of indium Rydberg atom bunches by electric field ionization
• Nuclear Structure at the Crossroads
• Bayesian probability updates using Sampling/Importance Resampling: Applications in nuclear theory
• Non-parametric Bayesian approach to extrapolation problems in configuration interaction methods
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Volume extrapolation via eigenvector continuation
• Optimization of generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double-beta decay: ridge regression for nuclei with axial deformation
• Nuclear-matter saturation and symmetry energy within $\Delta$--full chiral effective field theory
• Lattice Effective Field Theory Simulations of Nuclei
• Emulators for scarce and noisy data: application to auxiliary field diffusion Monte Carlo for the deuteron
• Reduced basis emulation of pairing in finite systems
• Reduced basis surrogates for quantum spin systems based on tensor networks
• Floating block method for quantum Monte Carlo simulations
• Greedy Emulators for Nuclear Two-Body Scattering
• A brief account of Steven Weinberg's legacy in ab initio many-body theory
• Trimmed Sampling Algorithm for the Noisy Generalized Eigenvalue Problem
• Perspectives on few-body cluster structures in exotic nuclei
• Accelerated coupled cluster calculations with Procrustes orbital interpolation
• Global Framework for Emulation of Nuclear Calculations
• Emulating generator coordinate method with extended eigenvector continuation: Lipkin-Meshkov-Glick model
• Constraining Neutrinoless Double-Beta Decay Matrix Elements from Ab Initio Nuclear Theory
• Non-Hermitian quantum mechanics approach for extracting and emulating continuum physics based on bound-state-like calculations: Detailed description
• Low-energy dipole strength in 8He
• Ab initio models of atomic nuclei: challenges and new ideas
• Report from the A.I. For Nuclear Physics Workshop
• Subspace-projected multireference covariant density functional theory
• Non-Hermitian Quantum Mechanics Approach for Extracting and Emulating Continuum Physics Based on Bound-State-Like Calculations
• Complex-energy eigenvector continuation for nuclear many-body broad resonances
• An Efficient Learning Method to Connect Observables
• Bayesian method for fitting the low-energy constants in chiral perturbation theory
• Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory
• Active learning emulators for nuclear two-body scattering in momentum space
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions
• Hartree-Fock emulators for nuclei: Application to charge radii of ${}^{48,52}$Ca
• Ab initio study of the neutron and Fermi polarons on the lattice
• Dimensionality reduction through tensor factorization : application to \textit{ab initio} nuclear physics calculations
• Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation