Local two- and three-nucleon chiral interactions

Abstract

Understanding the structure and reactions of nuclei from first principles has been a long-standing goal of nuclear physics. In this respect, few- and many-body systems provide a unique laboratory for studying nuclear interactions. In the past couple of decades, the modeling of nuclear interactions has progressed significantly owing, in particular, to the development of chiral effective field theory ($\chi$EFT), a low-energy effective representation of quantum chromodynamics (QCD). Within $\chi$EFT, many studies have dealt with the construction of both two- and three-nucleon interactions. The aim of the present article is to provide a concise account of chiral interaction models that are local in configuration space, and to report on a selection of recent results for nuclear systems obtained with these interactions.

arXiv comment14 pages, 2 figures, Contribution to Special Issue of Few-Body Systems: Celebrating 30 years of Steven Weinberg's papers on Nuclear Forces from Chiral Lagrangians

References in corpus (87)

• 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
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Construction of high-quality Nucleon-Nucleon potential models
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Quantum Monte Carlo methods for nuclear physics
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• The two-nucleon system at next-to-next-to-next-to-leading order
• Realistic models of pion-exchange three-nucleon interactions
• The Two-Nucleon Potential from Chiral Lagrangians
• Coupled-cluster computations of atomic nuclei
• Self-consistent Green's function method for nuclei and nuclear matter
• Accurate nuclear radii and binding energies from a chiral interaction
• From low-momentum interactions to nuclear structure
• Nuclear effective field theory: status and perspectives
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Three-Body Interactions Among Nucleons and Pions
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Charge, neutron, and weak size of the atomic nucleus
• Renormalization of One-Pion Exchange and Power Counting
• Three-body forces: From cold atoms to nuclei
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• 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
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Updated analysis of NN elastic scattering to 3 GeV
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
• Coupled-cluster calculations of nucleonic matter
• Signatures of three-nucleon interactions in few-nucleon systems
• Ab initio alpha-alpha scattering
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Local chiral potentials and the structure of light nuclei
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
• Light-nuclei spectra from chiral dynamics
• Chiral three-nucleon force at N^4LO I: Longest-range contributions
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Lattice Effective Field Theory for Medium-Mass Nuclei
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Subleading contributions to the three-nucleon contact interaction
• A recipe for EFT uncertainty quantification in nuclear physics
• Bayesian parameter estimation for effective field theories
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
• Properties of nuclei up to $A=16$ using local chiral interactions
• Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Proton-proton fusion and tritium $\beta$-decay from lattice quantum chromodynamics
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Chiral EFT based nuclear forces: Achievements and challenges
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Magnetic moments of light nuclei from lattice quantum chromodynamics
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Neutral weak current two-body contributions in inclusive scattering from ${}^{12}$C
• Properties of trapped neutrons interacting with realistic nuclear Hamiltonians
• Coarse grained NN potential with Chiral Two Pion Exchange
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Continuum effects in neutron-drip-line oxygen isotopes
• Historical perspective and future prospects for nuclear interactions
• Equation of State for Nucleonic Matter and its Quark Mass Dependence from the Nuclear Force in Lattice QCD
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Unitary ambiguity of NN contact interactions and the 3N force
• Muon capture in nuclei: an ab initio approach based on quantum Monte Carlo methods

Cited by in corpus (2)

• Densities and momentum distributions in A <=12 nuclei from chiral effective field theory interactions
• What Can Possibly Go Wrong?