High-quality two-nucleon potentials up to fifth order of the chiral expansion
arXiv:1703.05454 · doi:10.1103/PhysRevC.96.024004
Abstract
We present NN potentials through five orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-next-to-leading order (N4LO). The construction may be perceived as consistent in the sense that the same power counting scheme as well as the same cutoff procedures are applied in all orders. Moreover, the long-range parts of these potentials are fixed by the very accurate pi-N LECs as determined in the Roy-Steiner equations analysis by Hoferichter, Ruiz de Elvira and coworkers. In fact, the uncertainties of these LECs are so small that a variation within the errors leads to effects that are essentially negligible, reducing the error budget of predictions considerably. The NN potentials are fit to the world NN data below pion-production threshold of the year of 2016. The potential of the highest order (N4LO) reproduces the world NN data with the outstanding chi^2/datum of 1.15, which is the highest precision ever accomplished for any chiral NN potential to date. The NN potentials presented may serve as a solid basis for systematic ab initio calculations of nuclear structure and reactions that allow for a comprehensive error analysis. In particular, the consistent order by order development of the potentials will make possible a reliable determination of the truncation error at each order. Our family of potentials is non-local and, generally, of soft character. This feature is reflected in the fact that the predictions for the triton binding energy (from two-body forces only) converges to about 8.1 MeV at the highest orders. This leaves room for three-nucleon-force contributions of moderate size.
arXiv comment24 pages, 3 figures. Section about three-nucleon forces expanded. Section about uncertainty quantifications added
References in corpus (94)
- 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
- 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
- Three-Nucleon Forces from Chiral Effective Field Theory
- Improved nuclear matter calculations from chiral low-momentum interactions
- The Two-Nucleon Potential from Chiral Lagrangians
- Coupled-cluster computations of atomic nuclei
- Accurate nuclear radii and binding energies from a chiral interaction
- Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
- Chiral three-nucleon forces and neutron matter
- Extended Partial-Wave Analysis of piN Scattering Data
- Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
- Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
- Precision nucleon-nucleon potential at fifth order in the chiral expansion
- Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
- Nucleon-Nucleon Scattering from Effective Field Theory
- An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
- Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
- Local three-nucleon interaction from chiral effective field theory
- Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- Scattering, and Neutron Matter
- Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
- Roy-Steiner-equation analysis of pion-nucleon scattering
- Subleading contributions to the chiral three-nucleon force I: long-range terms
- Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
- Local chiral effective field theory interactions and quantum Monte Carlo applications
- Neutron matter from chiral effective field theory interactions
- Updated analysis of NN elastic scattering to 3 GeV
- Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including 's
- Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
- Saturation with chiral interactions and consequences for finite nuclei
- Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
- Coupled-cluster calculations of nucleonic matter
- In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
- Ab Initio Path to Heavy Nuclei
- Power counting with one-pion exchange
- Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
- Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
- Chiral 2pi exchange at order four and peripheral NN scattering
- Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
- Local chiral potentials and the structure of light nuclei
- Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
- Chiral three-nucleon force at N^4LO I: Longest-range contributions
- Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
- Neutron matter from chiral two- and three-nucleon calculations up to NLO
- Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
- Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
- Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
- Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
- The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
- Spectra and binding energy predictions of chiral interactions for 7Li
- Subleading contributions to the three-nucleon contact interaction
- A recipe for EFT uncertainty quantification in nuclear physics
- Reduced regulator dependence of neutron-matter predictions with chiral interactions
- 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
- Ab initio many-body calculations of nucleon scattering on 4He, 7Li, 7Be, 12C and 16O
- Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
- Nuclear Physics Around the Unitarity Limit
- Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
- Chiral -exchange NN-potentials: results for representation invariant classes of diagrams
- Chiral -exchange NN-potentials: Two-loop contributions
- Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory
- Short-range nuclear forces in singlet channels
- Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
- How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
- Electromagnetic Corrections to the One-Pion-Exchange Potential
- Chiral -exchange NN-potentials: Results for diagrams proportional to g_A^4 and g_A^6
- Effect of three-nucleon interaction in p-3He elastic scattering
- Chiral 2-exchange NN-potentials: Relativistic -Corrections
- Nonperturbative renormalization of the chiral nucleon-nucleon interaction up to next-to-next-to-leading order
- Comparison of potential models with the pp scattering data below 350 MeV
- Deconstructing triplet nucleon-nucleon scattering
- Chiral 3-exchange NN-potentials: Results for dominant next-to-leading order contributions
- Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering
- Low-energy neutron-deuteron reactions with N3LO chiral forces
- Power Counting and Wilsonian Renormalization in Nuclear Effective Field Theory
- Nucleon-induced reactions at intermediate energies: New data at 96 MeV and theoretical status
- How to Renormalize the Schrodinger Equation
- Power Counting in Peripheral Partial Waves: The Singlet Channels
- The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
- Chiral NN model and Ay puzzle
- Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
- Charge-Dependence of the Nucleon-Nucleon Interaction
- Functional renormalisation group for two-body scattering
- Triton binding energy with realistic precision
- Statistical error propagation in ab initio no-core full configuration calculations of light nuclei
- Analysing powers for the reaction and for np elastic scattering from 270 to 570 MeV
- Power counting for nuclear forces in chiral effective field theory
Cited by in corpus (213)
- Nuclear effective field theory: status and perspectives
- Discrepancy between experimental and theoretical -decay rates resolved from first principles
- Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
- How well do we know the neutron-matter equation of state at the densities inside neutron stars? A Bayesian approach with correlated uncertainties
- Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
- Neutron Stars and the Nuclear Equation of State
- Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
- Improved axion emissivity from a supernova via nucleon-nucleon bremsstrahlung
- 50 Years of Quantum Chromodynamics
- Neutron star tidal deformabilities constrained by nuclear theory and experiment
- Quantifying Correlated Truncation Errors in Effective Field Theory
- Limiting masses and radii of neutron stars and their implications
- Quantifying uncertainties and correlations in the nuclear-matter equation of state
- Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
- Towards an ab initio covariant density functional for nuclear structure
- Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
- Astrophysical Axion Bounds: The 2024 Edition
- Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
- Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
- Light nuclei with semilocal momentum-space regularized chiral interactions up to third order
- Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
- Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
- Nuclear equation of state for arbitrary proton fraction and temperature based on chiral effective field theory and a Gaussian process emulator
- Recent developments for the optical model of nuclei
- Towards high-order calculations of three-nucleon scattering in chiral effective field theory
- Towards grounding nuclear physics in QCD
- Improving Hamiltonian encodings with the Gray code
- Nuclear structure factors for general spin-independent WIMP-nucleus scattering
- Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
- Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
- In-medium similarity renormalization group with three-body operators
- Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
- Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
- Ab initio calculation of the contact operator contribution in the standard mechanism for neutrinoless double beta decay
- Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
- Hyperons: the strange ingredients of the nuclear equation of state
- Nuclear Currents in Chiral Effective Field Theory
- High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory
- Precision determination of pion-nucleon coupling constants using effective field theory
- Neutron matter at finite temperature based on chiral effective field theory interactions
- New Ideas in Constraining Nuclear Forces
- \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
- Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
- Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
- Ab initio uncertainty quantification of neutrinoless double-beta decay in Ge
- Nuclear electromagnetic currents to fourth order in chiral effective field theory
- Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities
- Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
- Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
- Weinberg eigenvalues for chiral nucleon-nucleon interactions
- Open-Shell Nuclei from No-Core Shell Model with Perturbative Improvement
- Historical perspective and future prospects for nuclear interactions
- Efimov Physics and Connections to Nuclear Physics
- Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
- Parity- and time-reversal-violating nuclear forces
- Short-range three-nucleon interaction from A=3 data and its hierarchical structure
- Nuclear Charge Radii of B
- Benchmark calculations of infinite neutron matter with realistic two- and three-nucleon potentials
- Power counting in chiral effective field theory and nuclear binding
- Predicting the moment of inertia of pulsar J0737-3039A from Bayesian modeling of the nuclear equation of state
- Three-nucleon force in chiral EFT with explicit degrees of freedom: Longest-range contributions at fourth order
- The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties
- Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
- Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
- interaction and the structure of and in chiral effective field theory
- Natural orbitals for many-body expansion methods
- Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials
- Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
- Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei
- Scale dependence of deuteron electrodisintegration
- Hidden spin-isospin exchange symmetry
- Can chiral EFT give us satisfaction?
- Gamow shell model description of He(,) elastic scattering reactions
- Ab initio structure factors for spin-dependent dark matter direct detection
- Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
- Comparing proton momentum distributions in and 3 nuclei via H H and He measurements
- Implementing chiral three-body forces in terms of medium-dependent two-body forces
- Similarity renormalization group evolution of hypernuclear Hamiltonians
- Production of light (anti)nuclei in pp collisions at TeV
- Momentum distributions and short-range correlations in the deuteron and He with modern chiral potentials
- A realistic coalescence model for deuteron production
- Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory
- Two-particle scattering from finite-volume quantization conditions using the plane wave basis
- Role of chiral two-body currents in Li magnetic properties in light of a new precision measurement with the relative self-absorption technique
- Reorientation-effect measurement of the first 2 state in C: confirmation of oblate deformation
- What is ab initio?
- Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory
- An strategy for taming nuclear-structure dependence of extractions: the superallowed transition
- Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces
- Nucleon-nucleon potentials from Delta-full chiral effective-field-theory and implications
- Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order
- Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory
- Radiative corrections to semileptonic beta decays: Progress and challenges
- Uncertainties in constraining low-energy constants from H decay
- Ab initio informed evaluation of the radiative capture of protons on Be
- Structure of the exotic He nucleus from the no-core shell model with continuum
- The exact discontinuity of a partial wave along the left-hand cut and the exact method in non-relativistic scattering
- Do we know how to count powers in pionless and pionful effective field theory?
- Machine Learning for the Prediction of Converged Energies from Ab Initio Nuclear Structure Calculations
- Zero- and finite-temperature electromagnetic strength distributions in closed- and open-shell nuclei from first principles
- Relativistic chiral description of the nucleon-nucleon scattering
- Impact of Three-Body Forces on Elastic Nucleon-Nucleus Scattering Observables
- Precise neural network predictions of energies and radii from the no-core shell model
- Symmetry energy and neutron star properties constrained by chiral effective field theory calculations
- Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
- Unitary ambiguity of NN contact interactions and the 3N force
- Ab initio calculation of muon capture on Mg
- Observation of excited states in Mg sheds light on nuclear forces and shell evolution
- Proton-Nucleus Elastic Scattering: Comparison between Phenomenological and Microscopic Optical Potentials
- Two-Pion-Exchange contributions to the nucleon-nucleon interactions in covariant baryon chiral perturbation theory
- Ab initio descriptions of mirror nuclei with resonance and continuum coupling
- Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons
- The relevance of pion-exchange contributions versus contact terms in the chiral effective field theory description of nucleon-nucleon scattering
- Optical Potentials Derived from Nucleon-Nucleon Chiral Potentials at N4LO
- Five-body calculation of -wave -He scattering at next-to-leading order pionless effective field theory
- Pion-mass dependence of the nucleon-nucleon interaction
- Properties of neutron star described by a relativistic model
- Neutron elastic scattering on calcium isotopes from chiral nuclear optical potentials
- Impact of neutrino pair-production rates in Core-Collapse Supernovae
- Maximally local two-nucleon interactions at NLO in -less chiral effective field theory
- Chiral effective field theory description of neutrino nucleon-nucleon Bremsstrahlung in supernova matter
- Three-body forces and Efimov physics in nuclei and atoms
- Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions
- Theoretical uncertainties of the elastic nucleon-deuteron scattering observables
- Neutron-deuteron scattering cross-sections with chiral interactions using wave-packet continuum discretization
- Supernovae and Weinberg's Higgs Portal Dark Radiation and Dark Matter
- Properties of nuclear matter in relativistic Brueckner-Hartree-Fock model with high-precision charge-dependent potentials
- The Equation of State of Neutron-Rich Matter at Fourth Order of Chiral Effective Field Theory and the Radius of a Medium-Mass Neutron Star
- Precision measurement of the transition strength to the 2 state of C
- Microscopic optical potential from the relativistic Brueckner-Hartree-Fock theory: Proton-nucleus scattering
- Magnetic structure of few-nucleon systems at high momentum transfers in a EFT approach
- Subleading contributions to the nuclear scalar isoscalar currents
- Neutron skin systematics from microscopic equations of state
- Electromagnetic properties of O for benchmarking nuclear Hamiltonians
- The charge-dependent Bonn potentials with pseudovector pion-nucleon coupling
- High-resolution momentum distributions from low-resolution wave functions
- Effective field theory for shallow P-wave states
- Spectroscopic properties of 4He within a multiphonon approach
- Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory
- Low-rank matrix decompositions for ab initio nuclear structure
- Muon Capture on Li, C, and O from Nuclear Theory
- Reconciling light nuclei and nuclear matter: relativistic calculations
- Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter
- Elastic Antiproton-Nucleus Scattering from Chiral Forces
- Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions
- Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
- Bayesian truncation errors in equations of state of nuclear matter with chiral nucleon-nucleon potentials
- Studies of the Three-Body Breakup in Deuteron-Deuteron Collisions near the Quasi-Free Limit at 160 MeV
- Operator evolution from the similarity renormalization group and the Magnus expansion
- Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
- The nuclear charge radius of
- Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties
- Optimized nuclear energy density functionals including long-range pion contributions
- The radius of a typical-mass neutron star and chiral effective field theory
- Least-square approach for singular value decompositions of scattering problems
- Perturbative treatment of three-nucleon force contact terms in three-nucleon Faddeev equations
- Perturbative computations of neutron-proton scattering observables using renormalization-group invariant EFT up to NLO
- Comprehensive investigation of the symmetric space-star configuration in the nucleon-deuteron breakup
- Comparative study of He -decay based on different similarity-renormalization-group evolved chiral interactions
- Temperature effects on the neutron matter equation of state obtained from chiral effective field theory
- Inferring three-nucleon couplings from multi-messenger neutron-star observations
- Theoretical study of the d(d,p)3H and d(d,n)3He processes at low energies
- Neutron star matter as a dilute solution of protons in neutrons
- Applications of the chiral potential with the semi-local regularization in momentum space to the disintegration processes
- Investigation of the Cross Section for dd Elastic Scattering and dd nHe Reactions at 160 MeV
- Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D -symmetric -theory
- Non-perturbative methods for NN singular interactions
- High-precision nuclear forces from chiral EFT: State-of-the-art, challenges and outlook
- Refined topology of the N = 20 island of inversion with high precision mass measurements of Na and Mg
- Status of the hyperon-nucleon interaction in chiral effective field theory
- Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering
- Importance truncation for the in-medium similarity renormalization group
- The Spin Orbit term in the Nuclear Shell Model
- Reexamining the perturbative renormalizability of the coupled triplets
- High-Precision Ab Initio Radius Calculations of Boron Isotopes
- Regulator constraints for the perturbative renormalizability of attractive triplets
- Revisiting proton-proton fusion in chiral effective field theory
- Using spin alignment of inelastically-excited fast beams to make spin assignments: the spectroscopy of 13O as a test case
- Local two- and three-nucleon chiral interactions
- Chiral uncertainties in ab initio nucleon-nucleus elastic scattering
- Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
- Coherent electroproduction on He and He at the Electron-Ion Collider: probing nuclear shadowing one nucleon at a time
- Nuclear kinetic density from ab initio theory
- IMSRG-Net: A machine learning-based solver for In-Medium Similarity Renormalization Group
- Renormalization of NN Chiral EFT, my personal mixed feelings
- The optical potentials and nuclear reaction cross sections for the -C and -C scattering
- dynamics in chiral effective field theory
- Neutrino-Neutron Scattering Opacities in Supernova Matter
- A study of open shell nuclei using chiral two-body interactions
- Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory
- Complex-energy eigenvector continuation for nuclear many-body broad resonances
- The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
- Induced three-neutron interactions with low cutoffs for dilute neutron matter
- Neutron-rich nuclei and neutron skins from chiral low-resolution interactions
- Correlations among neutron-proton and neutron-deuteron elastic scattering observables
- Microscopic Optical Potentials: recent achievements and future perspectives
- Residual cut-off dependence and power counting: the deuteron as a case study
- Pions and Contacts at N4LO: Some details on the chiral nuclear force
- Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
- Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
- Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory
- Implementation of chiral two-nucleon forces to nuclear many-body methods with Gaussian-wave packets
- The one-pion-exchange potential with contact terms from lattice QCD simulations
- Neutron star crust and outer core equation of state from chiral effective field theory with quantified uncertainties
- An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion
- Constraining Hamiltonians from chiral effective field theory with neutron-star data
- Proton inelastic scattering reveals deformation in He
- Exploring quark mass dependent three-nucleon forces in medium-mass nuclei
- Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation
- Elastic proton scattering off non-zero spin nuclei
- Hartree-Fock emulators for nuclei: Application to charge radii of Ca
- Efficient emulator for solving three-nucleon continuum Faddeev equations with chiral three-nucleon force comprising any number of contact terms
- Effect of chiral nuclear forces on the neutrino mean free path in hot neutron matter