Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory

Abstract

The chiral low-energy constants c_D and c_E are constrained by means of accurate ab initio calculations of the A=3 binding energies and, for the first time, of the triton beta decay. We demonstrate that these low-energy observables allow a robust determination of the two undetermined constants. The consistency of the interactions and currents in chiral effective field theory is crucial to this remarkable result. The two- plus three-nucleon interactions from chiral effective field theory defined by properties of the A=2 system and the present determination of c_D and c_E are successful in predicting properties of the A=3, and 4 systems.

arXiv comment4 pages, 3 figures, published version

References in corpus (25)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The two-nucleon system at next-to-next-to-next-to-leading order
• Three-Nucleon Forces from Chiral Effective Field Theory
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Renormalization of One-Pion Exchange and Power Counting
• Chiral Perturbation Theory and Baryon Properties
• Local three-nucleon interaction from chiral effective field theory
• On the rms-radius of the proton
• 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
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Power counting with one-pion exchange
• Dynamical Twisted Mass Fermions with Light Quarks
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Spectra and binding energy predictions of chiral interactions for 7Li
• Weak capture of protons by protons
• The three-nucleon bound state using realistic potential models
• Four-nucleon force in chiral effective field theory
• Chiral Three-Nucleon Forces from p-wave Pion Production
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• The ${}^4$He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
• Muon Capture on 3He and the Weak Structure of the Nucleon
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory

Cited by in corpus (176)

• Chiral effective field theory and nuclear forces
• Solar fusion cross sections II: the pp chain and CNO cycles
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Accurate nuclear radii and binding energies from a chiral interaction
• Nuclear effective field theory: status and perspectives
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Recent developments in no-core shell-model calculations
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Three-body forces: From cold atoms to nuclei
• 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
• Microscopic Clustering in Light Nuclei
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Evolution of shell structure in neutron-rich calcium isotopes
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Toward the discovery of matter creation with neutrinoless double-beta decay
• 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
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Continuum effects and three-nucleon forces in neutron-rich oxygen isotopes
• Chiral two-body currents in nuclei: Gamow-Teller transitions and neutrinoless double-beta decay
• Unified ab initio approaches to nuclear structure and reactions
• 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
• Novel chiral Hamiltonian and observables in light and medium-mass nuclei
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• Light-nuclei spectra from chiral dynamics
• Origin of the anomalous long lifetime of 14C
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Symmetry-guided large-scale shell-model theory
• Subleading contributions to the three-nucleon contact interaction
• Convergence properties of {\itshape ab initio} calculations of light nuclei in a harmonic oscillator basis
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
• Nuclear chiral dynamics and thermodynamics
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Nuclear axial current operators to fourth order in chiral effective field theory
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Chiral dynamics of few- and many-nucleon systems
• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Ab Initio Description of p-Shell Hypernuclei
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Nuclear Axial Currents in Chiral Effective Field Theory
• Effect of three-nucleon interaction in p-3He elastic scattering
• Ab initio predictions for polarized DT thermonuclear fusion
• From bound states to the continuum
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
• Light Axial Vectors, Nuclear Transitions, and the ${}^8$Be Anomaly
• Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces
• Tritium $\beta$-decay in chiral effective field theory
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Nuclear Currents in Chiral Effective Field Theory
• The isoscalar monopole resonance of the alpha particle: a prism to nuclear Hamiltonians
• Microscopic optical potential from chiral nuclear forces
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Thermal neutron captures on $d$ and ${}^3$He
• New Ideas in Constraining Nuclear Forces
• The Theory of Parity Violation in Few-Nucleon Systems
• Chiral Fermi liquid approach to neutron matter
• Local chiral interactions and magnetic structure of few-nucleon systems
• Open-Shell Nuclei and Excited States from Multi-Reference Normal-Ordered Hamiltonians
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Operator evolution for ab initio nuclear theory
• Benchmark calculations of infinite neutron matter with realistic two- and three-nucleon potentials
• Uncertainty quantification for proton-proton fusion in chiral effective field theory
• Description of Four- and Five-Nucleon Systems by Solving Faddeev-Yakubovsky Equations in Configuration Space
• Impact of two-body currents on magnetic dipole moments of nuclei
• Structure of A = 7 - 8 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
• The triton with long-range chiral N3LO three nucleon forces
• A chiral effective field theory study of hadronic parity violation in few-nucleon systems
• An accurate calculation of the nucleon axial charge with lattice QCD
• p-Wave pion production from nucleon-nucleon collisions
• First results on the scalar WIMP-pion coupling, using the XENON1T experiment
• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Systematics of 2+ states in C isotopes from the ab initio no-core shell model
• Ab Initio study of neutron drops with chiral Hamiltonians
• Quasiparticle interaction in nuclear matter with chiral three-nucleon forces
• Neutrino-deuteron scattering: Uncertainty quantification and new $L_{1,A}$ constraints
• The parity-violating asymmetry in the 3He(n,p)3H reaction
• Two-neutrino double electron capture on ${}^{124}$Xe based on an effective theory and the nuclear shell model
• Near Threshold Proton-Proton Fusion in Effective Field Theory
• The nuclear force imprints revealed on the elastic scattering of protons with ${}^{10}$C
• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• The magnetic form factor of the deuteron in chiral effective field theory
• Ab initio structure factors for spin-dependent dark matter direct detection
• Nuclear Reactions from Lattice QCD
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• Implementing chiral three-body forces in terms of medium-dependent two-body forces
• Similarity renormalization group evolution of hypernuclear Hamiltonians
• Densities and momentum distributions in A <=12 nuclei from chiral effective field theory interactions
• Role of chiral two-body currents in ${}^6$Li magnetic properties in light of a new precision measurement with the relative self-absorption technique
• Bayesian optimization in ab initio nuclear physics
• Tritium $\beta$-decay in pionless effective field theory
• Effective Field Theory calculations of $NN\to NN\pi$
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• Solar fusion III: New data and theory for hydrogen-burning stars
• Ab initio nuclear structure calculations of light nuclei
• Impact of Three-Body Forces on Elastic Nucleon-Nucleus Scattering Observables
• Nuclear Structure from the In-Medium Similarity Renormalization Group
• Gamow-Teller and double-beta decays of heavy nuclei within an effective theory
• Effect of the N3LO three-nucleon contact interaction on p-d scattering observables
• Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons
• Effective-field-theory predictions of the muon-deuteron capture rate
• Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
• Beta Decay in Medium-Mass Nuclei with the In-Medium Similarity Renormalization Group
• Neutron matter from local chiral effective field theory interactions at large cutoffs
• Differential cross section and analysing power of the quasi-free pn -> {pp}_s pi- reaction at 353 MeV
• Muon Capture on Deuteron and 3He: A Personal Review
• Properties of infrared extrapolations in a harmonic oscillator basis
• Spectroscopic properties of 4He within a multiphonon approach
• Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• Muon Capture in Deuterium
• Impact of the neutron matter equation of state on neutron skin and neutron drip lines in chiral effective field theory
• The weak structure of the nucleon from muon capture on 3He
• Universal behavior of $p$-wave proton-proton fusion near threshold
• Chiral nuclear dynamics with three-body forces
• Theoretical study of the d(d,p)3H and d(d,n)3He processes at low energies
• Measurement of spin observables in the quasi-free np-> {pp}_s pi- reaction at 353 MeV
• An update of muon capture on hydrogen
• Microscopic two-nucleon overlaps and knockout reactions from ${}^{12}$C
• The triton lifetime from nuclear lattice effective field theory
• Chiral Electroweak Currents in Nuclei
• Muon capture on deuteron using local chiral potentials
• High-precision nuclear forces from chiral EFT: State-of-the-art, challenges and outlook
• Muon capture on deuteron and the neutron-neutron scattering length
• Realistic shell-model calculations: current status and open problems
• Applications of the Similarity Renormalization Group to the Nuclear Interaction
• Ab initio calculations of reactions with light nuclei
• Renormalization of proton-proton fusion in chiral effective field theory
• Local two- and three-nucleon chiral interactions
• Theoretical evaluation of solar proton-proton fusion reaction rate and its uncertainties
• Revisiting proton-proton fusion in chiral effective field theory
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• The effective interaction hyperspherical harmonics method for non-local potentials
• Three-Nucleon Forces
• Alpha-Particle Monopole Form Factors with Ab Initio No-Core Shell Model
• Ab initio models of atomic nuclei: challenges and new ideas
• Ab initio calculations of p-shell nuclei up to N2LO in chiral Effective Field Theory
• Nuclear physics insights for new-physics searches using nuclei: Neutrinoless $\beta \beta$ decay and dark matter direct detection
• Derivation of transition density from the observed 4He(e,e')4He(0^+_2) form factor raising the alpha-particle monopole puzzle
• Two-body currents at finite momentum transfer and applications to M1 transitions
• Neutrino-induced neutral- and charged-current reactions on ${}^{40}$Ar
• Ab initio calculations of beta-decay half-lives for $N=50$ neutron-rich nuclei
• Electromagnetic structure of light nuclei
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He
• Electromagnetic processes in a $\chi$EFT framework
• Constraining Hamiltonians from chiral effective field theory with neutron-star data
• Pion reactions with few-nucleon systems
• Computational Science and Innovation
• Challenges for Modeling Nuclear Structure: Are the Proton and Neutron Masses and A-body Interactions Relevant?
• Exploring quark mass dependent three-nucleon forces in medium-mass nuclei
• Low-energy Electro-weak Reactions