Statistical uncertainties of a chiral interaction at next-to-next-to leading order

Abstract

We have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon-nucleon (NN) interaction from chiral effective field theory ($\chi$EFT) at next-to-next-to-leading order (NNLO). In addition, we have propagated the impact of the uncertainties of the LECs to two-nucleon scattering phase shifts, effective range parameters, and deuteron observables.

arXiv commentSubmitted to JPhysG Focus issue "Enhancing the interaction between nuclear experiment and theory through information and statistics" (ISNET) (updated author list)

References in corpus (21)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Modern Theory of Nuclear Forces
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Nuclear Energy Density Optimization
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Error Estimates of Theoretical Models: a Guide
• Ab Initio Path to Heavy Nuclei
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold
• Recovery of the Schwarzschild Metric in Theories with Localized Gravity Beyond Linear Order
• Coarse grained NN potential with Chiral Two Pion Exchange
• Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold
• Modern theory of nuclear forces
• Self-force gravitational waveforms for extreme and intermediate mass ratio inspirals. II: Importance of the second-order dissipative effect
• Geometric Massive Gravity in Multi-Connection Framework
• Influence of Heavy Quark Recombination on the Nucleon Strangeness Asymmetry
• Asymptotically AdS Charged Black Holes in String Theory with Gauss-Bonnet Correction in Various Dimensions

Cited by in corpus (28)

• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Exploring sd-shell nuclei from two- and three-nucleon interactions with realistic saturation properties
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Delta isobars and nuclear saturation
• A two-neutron halo is unveiled in ${}^{29}$F
• Nuclear axial current operators to fourth order in chiral effective field theory
• Towards grounding nuclear physics in QCD
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Uncertainty quantification for proton-proton fusion in chiral effective field theory
• Computing the dipole polarizability of 48Ca with increased precision
• Ab initio nuclear response functions for dark matter searches
• Coulomb sum rule for ${}^4$He and ${}^{16}$O from coupled-cluster theory
• Uncertainty quantification in nuclear shell model
• Light Nuclei from Lattice QCD: Spectrum, Structure and Reactions
• Non-parametric Bayesian approach to extrapolation problems in configuration interaction methods
• Effective-field-theory predictions of the muon-deuteron capture rate
• Optimization and Supervised Machine Learning Methods for Fitting Numerical Physics Models without Derivatives
• Uncertainty propagation within the UNEDF models
• Systematic Nuclear Uncertainties in the Hypertriton System
• Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers
• Uncertainty quantification for $\mu \to e$ conversion in nuclei: charge distributions
• The falsification of Chiral Nuclear Forces
• Ab initio models of atomic nuclei: challenges and new ideas