Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances

Abstract

In recent years, the combination of precise quantum Monte Carlo (QMC) methods with realistic nuclear interactions and consistent electroweak currents, in particular those constructed within effective field theories (EFTs), has lead to new insights in light and medium-mass nuclei, neutron matter, and electroweak reactions. This compelling new body of work has been made possible both by advances in QMC methods for nuclear physics, which push the bounds of applicability to heavier nuclei and to asymmetric nuclear matter and by the development of local chiral EFT interactions up to next-to-next-to-leading order and minimally nonlocal interactions including $\Delta$ degrees of freedom. In this review, we discuss these recent developments and give an overview of the exciting results for nuclei, neutron matter and neutron stars, and electroweak reactions.

arXiv comment27 pages, 8 figures; Invited review prepared for the Annual Review of Nuclear and Particle Science, Volume 69 (2019)

References in corpus (109)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• An accurate nucleon-nucleon potential with charge-independence breaking
• Modern Theory of Nuclear Forces
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Quantum Monte Carlo methods for nuclear physics
• Effective Field Theory for Few-Nucleon Systems
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Realistic models of pion-exchange three-nucleon interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Probing Cold Dense Nuclear Matter
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• Axial structure of the nucleon
• Ab initio calculation of the Hoyle state
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Constraining the speed of sound inside neutron stars with chiral effective field theory interactions and observations
• Constraints on neutron star radii based on chiral effective field theory interactions
• Renormalization of One-Pion Exchange and Power Counting
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Nucleon-Nucleon Correlations, Short-lived Excitations, and the Quarks Within
• A critical examination of constraints on the equation of state of dense matter obtained from GW170817
• Evolution of Nuclear Spectra with Nuclear Forces
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Momentum sharing in imbalanced Fermi systems
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Quantifying truncation errors in effective field theory
• Evidence for the Strong Dominance of Proton-Neutron Correlations in Nuclei
• Tensor Forces and the Ground-State Structure of Nuclei
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Neutron matter from chiral effective field theory interactions
• Quantum Monte Carlo calculations of excited states in A = 6--8 nuclei
• Structure of the lightest tin isotopes
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Saturation with chiral interactions and consequences for finite nuclei
• Deuterium target data for precision neutrino-nucleus cross sections
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Local chiral potentials and the structure of light nuclei
• Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Light-nuclei spectra from chiral dynamics
• Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Structure of ${}^{78}$Ni from first principles computations
• Dense matter with eXTP
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Probing the Repulsive Core of the Nucleon-Nucleon Interaction via the 4He(e,e'pN) Triple-Coincidence Reaction
• Constraining and applying a generic high-density equation of state
• Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
• Axial Vector Form Factors of the Nucleon from Lattice QCD
• Dawning of the N=32 shell closure seen through precision mass measurements of neutron-rich titanium isotopes
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Effective Field Theory for Lattice Nuclei
• Electromagnetic response of 12C: a first-principles calculation
• Charge form factor and sum rules of electromagnetic response functions in Carbon-12
• Electromagnetic two-body currents of one- and two-pion range
• Delta isobars and nuclear saturation
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Properties of nuclei up to $A=16$ using local chiral interactions
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• Proton-proton fusion and tritium $\beta$-decay from lattice quantum chromodynamics
• Nuclear axial current operators to fourth order in chiral effective field theory
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• Neutron matter at zero temperature with auxiliary field diffusion Monte Carlo
• Electromagnetic and neutral-weak response functions of 4He and 12C
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Magnetic moments of light nuclei from lattice quantum chromodynamics
• Neutrinoless double beta decay matrix elements in light nuclei
• Nuclear Axial Currents in Chiral Effective Field Theory
• Variational calculation of the ground state of closed-shell nuclei up to $A=40$
• Neutrino-nucleus cross section within the extended factorization scheme
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Neutral weak current two-body contributions in inclusive scattering from ${}^{12}$C
• Ab initio calculation of neutral-current $\nu$-${}^{12}$C inclusive quasielastic scattering
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Contribution of two particle-two hole final states to the nuclear response
• Properties of trapped neutrons interacting with realistic nuclear Hamiltonians
• Short Range Correlations and the EMC Effect in Effective Field Theory
• Regulator Artifacts in Uniform Matter for Chiral Interactions
• Quantum Monte Carlo calculations of magnetic moments and M1 transitions in A<=7 nuclei including meson-exchange currents
• Elastic electron-deuteron scattering in chiral effective field theory
• Higher-order calculations of electron-deuteron scattering in nuclear effective theory
• Energy and momentum dependence of nuclear short-range correlations - Spectral function, exclusive scattering experiments and the contact formalism
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Comparative study of three-nucleon potentials in nuclear matter
• Relativistic and Nuclear Medium Effects on the Coulomb Sum Rule
• Induced pseudoscalar form factor of the nucleon at two-loop order in chiral perturbation theory
• Dependence of two-nucleon momentum densities on total pair momentum
• Single- and two-nucleon momentum distributions for local chiral interactions
• Ab initio and phenomenological studies of the static response of neutron matter
• Nuclear Physics from Lattice QCD
• Theoretical Study of the ^3He(mu^-,nu_mu)^3H Capture
• Relativistic effects in ab-initio electron-nucleus scattering
• Inclusive neutrino scattering off deuteron at low energies in chiral effective field theory
• Quantum Monte Carlo formalism for dynamical pions and nucleons
• Integral transform methods: a critical review of various kernels

Cited by in corpus (66)

• Stringent constraints on neutron-star radii from multimessenger observations and nuclear theory
• Neutron Stars and the Nuclear Equation of State
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Direct Astrophysical Tests of Chiral Effective Field Theory at Supranuclear Densities
• Quantum Critical Points and the Sign Problem
• Precision Nucleon Charges and Form Factors Using 2+1-flavor Lattice QCD
• Constraining the dense matter equation of state with new NICER mass-radius measurements and new chiral effective field theory inputs
• Nuclear equation of state for arbitrary proton fraction and temperature based on chiral effective field theory and a Gaussian process emulator
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Towards grounding nuclear physics in QCD
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Constraints on the nuclear symmetry energy from asymmetric-matter calculations with chiral NN and 3N interactions
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Toward emulating nuclear reactions using eigenvector continuation
• Horizons: Nuclear Astrophysics in the 2020s and Beyond
• Simulating excited states of the Lipkin model on a quantum computer
• Quantum algorithm for Feynman loop integrals
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory
• Thermal behavior as indicator for hyperons in binary neutron star merger remnants
• Form Factors of the Nucleon Axial Current
• Exploring the strong interaction of three-body systems at the LHC
• Nuclear energy density functionals grounded in ab initio calculations
• Properties of the neutron star crust: Quantifying and correlating uncertainties with improved nuclear physics
• Clustering of Four-Component Unitary Fermions
• Emulating \emph{ab initio} computations of infinite nucleonic matter
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions
• Spin-polarized neutron matter, the maximum mass of neutron stars, and GW170817
• Partial muon capture rates in $A=3$ and $A=6$ nuclei with chiral effective field theory
• Neutron matter from local chiral effective field theory interactions at large cutoffs
• Quantum Monte Carlo in Configuration Space with Three-Nucleon Forces
• Tidal Deformability Doppelgangers: Implications of a low-density phase transition in the neutron star equation of state
• Emulators for scarce and noisy data: application to auxiliary field diffusion Monte Carlo for the deuteron
• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter
• Constraining the properties of dense matter and neutron stars by combining nuclear physics and gravitational waves from GW170817
• Satisfying the compressibility sum rule in neutron matter
• Nuclear-Physics Multi-Messenger Astrophysics Constraints on the Neutron-Star Equation of State: Adding NICER's PSR J0740+6620 Measurement
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
• Path Integral Quantum Monte Carlo Calculations of Light Nuclei
• Local two- and three-nucleon chiral interactions
• Connecting Relativistic Density Functional Theory to Microscopic Calculations
• Perturbed nuclear matter studied within Density Functional Theory with a finite number of particles
• Exploring the Nexus between Thermodynamic Phase Transitions and Geometric Fractals through Systematic Lattice Point Classification
• Quantum clustering and jet reconstruction at the LHC
• Cold atoms beyond atomic physics
• Two-body currents at finite momentum transfer and applications to M1 transitions
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions
• In-Depth Investigation of Phase Transition Phenomena in Network Models Derived from Lattice Models
• Systematic lowering of the scaling of Monte Carlo calculations by partitioning andsubsampling
• Nucleon axial-vector form factor and radius from future neutrino experiments
• Theory of QED radiative corrections to neutrino scattering at accelerator energies
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods
• Conformal prediction for uncertainties in nucleon-nucleon scattering
• Constraining Hamiltonians from chiral effective field theory with neutron-star data