Ab initio models of atomic nuclei: challenges and new ideas

Abstract

This review presents some of the challenges in constructing models of atomic nuclei starting from theoretical descriptions of the strong interaction between nucleons. The focus is on statistical computing and methods for analyzing the link between bulk properties of atomic nuclei, such as radii and binding energies, and the underlying microscopic description of the nuclear interaction. The importance of careful model calibration and uncertainty quantification of theoretical predictions is highlighted.

arXiv comment25 pages, 5 figures, Submitted to Frontiers in Physics (Research topic) The Long-Lasting Quest for Nuclear Interactions: The Past, the Present and the Future

References in corpus (79)

• An accurate nucleon-nucleon potential with charge-independence breaking
• MCMC using Hamiltonian dynamics
• 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
• Effective Field Theory for Few-Nucleon Systems
• Three-Nucleon Forces from Chiral Effective Field Theory
• Improved nuclear matter calculations from chiral low-momentum interactions
• Self-consistent Green's function method for nuclei and nuclear matter
• Accurate nuclear radii and binding energies from a chiral interaction
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Charge, neutron, and weak size of the atomic nucleus
• Renormalization of One-Pion Exchange and Power Counting
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Error Estimates of Theoretical Models: a Guide
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Effective Field Theory of Nuclear Forces
• Quantifying truncation errors in effective field theory
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Bayesian approach to model-based extrapolation of nuclear observables
• Saturation with chiral interactions and consequences for finite nuclei
• Dos and don'ts of reduced chi-squared
• Ab Initio Path to Heavy 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
• Quantifying Correlated Truncation Errors in Effective Field Theory
• Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
• Neutron drip line in the Ca region from Bayesian model averaging
• Light-nuclei spectra from chiral dynamics
• Chiral Dynamics and Heavy-Fermion Formalism in Nuclei: I. Exchange Axial Currents
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Low-momentum interaction in few-nucleon systems
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• Eigenvector continuation with subspace learning
• Structure of ${}^{78}$Ni from first principles computations
• Self-consistent Green's functions formalism with three-body interactions
• 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
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Meaningful characterisation of perturbative theoretical uncertainties
• Nuclear binding near a quantum phase transition
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Effective Field Theory for Lattice Nuclei
• Viability of carbon-based life as a function of the light quark mass
• Essential elements for nuclear binding
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
• Dependence of nuclear binding on hadronic mass variation
• Ab initio optical potentials and nucleon scattering on medium mass nuclei
• How Robust is the N = 34 Subshell Closure? First Spectroscopy of ${}^{52}$Ar
• Ab initio calculation of the potential bubble nucleus ${}^{34}$Si
• Nuclear Axial Currents in Chiral Effective Field Theory
• Deep learning: Extrapolation tool for ab initio nuclear theory
• Extrapolation of nuclear structure observables with artificial neural networks
• Regulator Artifacts in Uniform Matter for Chiral Interactions
• Microscopic optical potentials for calcium isotopes
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• How to Renormalize the Schrodinger Equation
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Uncertainty quantification for proton-proton fusion in chiral effective field theory
• The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties
• Effective theory for deformed nuclei
• Statistical uncertainties of a chiral interaction at next-to-next-to leading order
• How to renormalize integral equations with singular potentials in effective field theory
• Statistical error propagation in ab initio no-core full configuration calculations of light nuclei
• Effective-field-theory predictions of the muon-deuteron capture rate
• Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers

Cited by in corpus (1)

• Report from the A.I. For Nuclear Physics Workshop