Implementing chiral three-body forces in terms of medium-dependent two-body forces
arXiv:1912.06055 · doi:10.3389/fphy.2020.00100
Abstract
Three-nucleon (3N) forces are an indispensable ingredient for accurate few-body and many-body nuclear structure and reaction theory calculations. While the direct implementation of chiral 3N forces can be technically very challenging, a simpler approach is given by employing instead a medium-dependent NN interaction V_med that reflects the physics of three-body forces at the two-body normal-ordered approximation. We review the derivation and construction of V_med from the chiral 3N interaction at next-to-next-to-leading order (N2LO), consisting of a long-range -exchange term, a mid-range -exchange component and a short-range contact term. Several applications of V_med to the equation of state of cold nuclear and neutron matter, the nucleon single-particle potential in nuclear matter, and the nuclear quasiparticle interaction are discussed. We also explore differences in using local vs. nonlocal regulating functions on 3N forces and make direct comparisons to exact results at low order in perturbation theory expansions for the equation of state and single-particle potential. We end with a discussion and numerical calculation of the in-medium NN potential V_med from the next-to-next-to-next-to-leading order (N3LO) chiral 3N force, which consists of a series of long-range and short-range terms.
arXiv comment31 pages, 15 figures, Published in Frontiers in Physics special volume "The Long-Lasting Quest for Nuclear Interactions: The Past, the Present and the Future"
References in corpus (82)
- The equation of state for nucleon matter and neutron star structure
- Modern Theory of Nuclear Forces
- Chiral effective field theory and nuclear forces
- Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
- Neutron Star Observations: Prognosis for Equation of State Constraints
- Gravitational-wave constraints on the neutron-star-matter Equation of State
- Isospin Asymmetry in Nuclei and Neutron Stars
- Quantum Monte Carlo methods for nuclear physics
- New constraints on radii and tidal deformabilities of neutron stars from GW170817
- Three-Nucleon Forces from Chiral Effective Field Theory
- 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
- Three-body forces and the limit of oxygen isotopes
- Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
- Chiral three-nucleon forces and neutron matter
- Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
- Constraints on neutron star radii based on chiral effective field theory interactions
- Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
- High-quality two-nucleon potentials up to fifth order of the chiral expansion
- Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
- Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
- Nuclear Matter and its Role in Supernovae, Neutron Stars and Compact Object Binary Mergers
- Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
- Local three-nucleon interaction from chiral effective field theory
- Evolution of shell structure in neutron-rich calcium isotopes
- Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
- Aspects of chiral pion-nucleon physics
- Non-Empirical Interactions for the Nuclear Shell Model: An Update
- Similarity-Transformed Chiral NN+3N Interactions for the Ab Initio Description of 12-C and 16-O
- Subleading contributions to the chiral three-nucleon force I: long-range terms
- Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
- Continuum effects and three-nucleon forces in neutron-rich oxygen isotopes
- Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
- Unified ab initio approaches to nuclear structure and reactions
- Is nuclear matter perturbative with low-momentum interactions?
- Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
- Neutron star tidal deformabilities constrained by nuclear theory and experiment
- Coupled-cluster theory for three-body Hamiltonians
- In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
- Pion-nucleon scattering inside the Mandelstam triangle
- Ab-initio Gorkov-Green's function calculations of open-shell nuclei
- Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
- Light-nuclei spectra from chiral dynamics
- Neutron matter from chiral two- and three-nucleon calculations up to NLO
- Microscopic nuclear equation of state with three-body forces and neutron star structure
- Microscopic Nuclear Equation of State with Three-Body Forces and Neutron Star Structure
- Polarization contributions to the spin-dependence of the effective interaction in neutron matter
- The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
- Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral EFT
- Determination of the chiral coupling constants c3 and c4 in new pp and np partial-wave analyses
- Reduced regulator dependence of neutron-matter predictions with chiral interactions
- Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
- Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
- Four-nucleon force in chiral effective field theory
- Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
- Bayesian modeling of the nuclear equation of state for neutron star tidal deformabilities and GW170817
- Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
- Thermodynamics of isospin-asymmetric nuclear matter from chiral effective field theory
- Nuclear thermodynamics from chiral low-momentum interactions
- How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
- Ab initio optical potentials and nucleon scattering on medium mass nuclei
- Constraints on the moment of inertia of PSR J0737-3039A from GW170817
- Neutron star crusts from mean field models constrained by chiral effective field theory
- Coupled-cluster studies of infinite nuclear matter
- Regulator Artifacts in Uniform Matter for Chiral Interactions
- Microscopic optical potential from chiral nuclear forces
- Low-energy neutron-deuteron reactions with N3LO chiral forces
- Microscopic optical potentials for calcium isotopes
- Chiral Fermi liquid approach to neutron matter
- Microscopic optical potential for exotic isotopes from chiral effective field theory
- Predicting the moment of inertia of pulsar J0737-3039A from Bayesian modeling of the nuclear equation of state
- Theoretical Optical Potential Derived From Nucleon-Nucleon Chiral Potentials
- Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials
- Quasiparticle interaction in nuclear matter with chiral three-nucleon forces
- Implementing chiral three-body forces in terms of medium-dependent two-body forces
- Density-dependent NN-interaction from subleading chiral 3N-forces: Long-range terms
- Density-dependent NN-interaction from subleading chiral 3N-forces: short-range terms and relativistic corrections
- Roles of chiral three-nucleon forces in nucleon-nucleus scattering
- Exact calculation of three-body contact interaction to second order
- Neutron elastic scattering on calcium isotopes from chiral nuclear optical potentials
- Tensor Fermi liquid parameters in nuclear matter from chiral effective field theory
Cited by in corpus (16)
- Chiral Effective Field Theory and the High-Density Nuclear Equation of State
- Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
- A global microscopic description of nucleon-nucleus scattering with quantified uncertainties
- Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials
- Implementing chiral three-body forces in terms of medium-dependent two-body forces
- Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces
- From Supernovae to Neutron Stars: A Systematic Approach to Axion Production at Finite Density
- Neutron elastic scattering on calcium isotopes from chiral nuclear optical potentials
- Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
- Quantum Monte Carlo in Configuration Space with Three-Nucleon Forces
- Proton pairing in neutron stars from chiral effective field theory
- Mass-Energy Equivalence in Bound Three-Nucleon Systems
- The Kohn-Luttinger Effect in Dense Matter and its Implications for Neutron Stars
- Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order
- An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion
- SU(3)_f Constraints on Hypernuclear Energy Density Functionals