Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order

Abstract

We introduce new semilocal two-nucleon potentials up to fifth order in the chiral expansion. We employ a simple regularization approach for the pion-exchange contributions which (i) maintains the long-range part of the interaction, (ii) is implemented in momentum space and (iii) can be straightforwardly applied to regularize many-body forces and current operators. We discuss in detail the two-nucleon contact interactions at fourth order and demonstrate that three terms out of fifteen used in previous calculations can be eliminated via suitably chosen unitary transformations. The removal of the redundant contact terms results in a drastic simplification of the fits to scattering data and leads to interactions which are much softer (i.e. more perturbative) than our recent semilocal coordinate-space regularized potentials. Using the pion-nucleon low-energy constants from matching pion-nucleon Roy-Steiner equations to chiral perturbation theory, we perform a comprehensive analysis of nucleon-nucleon scattering and the deuteron properties up to fifth chiral order and study the impact of the leading F-wave two-nucleon contact interactions which appear at sixth order. The resulting chiral potentials lead to an outstanding description of the proton-proton and neutron-proton scattering data from the self-consistent Granada-2013 database below the pion production threshold, which is significantly better than for any other chiral potential. For the first time, the chiral potentials match in precision and even outperform the available high-precision phenomenological potentials, while the number of adjustable parameters is, at the same time, reduced by about ~40%. Last but not least, we perform a detailed error analysis and, in particular, quantify for the first time the statistical uncertainties of the fourth- and the considered sixth-order contact interactions.

57 pages, 17 figures, 19 tables

References in corpus (32)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Chiral Perturbation Theory and Baryon Properties
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Delta-excitations and the three-nucleon force
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• Four-nucleon force using the method of unitary transformation
• Partial-Wave Analysis of Nucleon-Nucleon Elastic Scattering Data
• The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Chiral effective theory predictions for deuteron form factor ratios at low Q^2
• Statistical uncertainties of a chiral interaction at next-to-next-to leading order
• Measurement of the Neutron-Proton and Neutron-Carbon Total Cross Section from 150 to 800 keV
• NN scattering in higher derivative formulation of baryon chiral perturbation theory
• Optical Potentials Derived from Nucleon-Nucleon Chiral Potentials at N4LO
• Determination of Low-Energy Parameters of Neutron--Proton Scattering on the Basis of Modern Experimental Data from Partial-Wave Analyses
• Electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon potential
• Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers

Cited by in corpus (178)

• Nuclear effective field theory: status and perspectives
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• 50 Years of Quantum Chromodynamics
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Quantifying Correlated Truncation Errors in Effective Field Theory
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Hyperon-nucleon interaction within chiral effective field theory revisited
• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• A renormalized approach to neutrinoless double-beta decay
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• 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
• On the nature of near-threshold bound and virtual states
• Towards high-order calculations of three-nucleon scattering in chiral effective field theory
• Towards grounding nuclear physics in QCD
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Towards complete leading-order predictions for neutrinoless double $\beta$ decay
• Extraction of the neutron charge radius from a precision calculation of the deuteron structure radius
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• What is ab initio in nuclear theory?
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
• Nuclear Currents in Chiral Effective Field Theory
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• Precision determination of pion-nucleon coupling constants using effective field theory
• High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory
• Impact of the leading-order short-range nuclear matrix element on the neutrinoless double-beta decay of medium-mass and heavy nuclei
• New Ideas in Constraining Nuclear Forces
• Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• 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
• Fast & accurate emulation of two-body scattering observables without wave functions
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• Nuclear properties with semilocal momentum-space regularized chiral interactions beyond N2LO
• Solving the left-hand cut problem in lattice QCD: $T_{cc}(3875{)}^{+}$ from finite volume energy levels
• Short-range three-nucleon interaction from A=3 data and its hierarchical structure
• Parity- and time-reversal-violating nuclear forces
• A global microscopic description of nucleon-nucleus scattering with quantified uncertainties
• Benchmark calculations of infinite neutron matter with realistic two- and three-nucleon potentials
• Power counting in chiral effective field theory and nuclear binding
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
• Perturbative quantum Monte Carlo method for nuclear physics
• Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
• Implications of an increased $\Lambda$-separation energy of the hypertriton
• 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
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Jacobi no-core shell model for $p$-shell hypernuclei
• Hidden spin-isospin exchange symmetry
• Can chiral EFT give us satisfaction?
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory
• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
• Implementing chiral three-body forces in terms of medium-dependent two-body forces
• Two-particle scattering from finite-volume quantization conditions using the plane wave basis
• Bayesian parameter estimation in $\chi$EFT using Hamiltonian Monte Carlo
• Bayesian optimization in ab initio nuclear physics
• What is ab initio?
• Exploring the strong interaction of three-body systems at the LHC
• Radiative corrections to semileptonic beta decays: Progress and challenges
• 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
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• The exact discontinuity of a partial wave along the left-hand cut and the exact $N/D$ method in non-relativistic scattering
• Machine Learning for the Prediction of Converged Energies from Ab Initio Nuclear Structure Calculations
• Do we know how to count powers in pionless and pionful effective field theory?
• Precise neural network predictions of energies and radii from the no-core shell model
• Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions
• Unitary ambiguity of NN contact interactions and the 3N force
• $A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory
• Properties of neutron star described by a relativistic $abinitio$ model
• Galilean invariance restoration on the lattice
• The relevance of pion-exchange contributions versus contact terms in the chiral effective field theory description of nucleon-nucleon scattering
• 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
• Pion-mass dependence of the nucleon-nucleon interaction
• Probing the Deuteron at Very Large Internal Momenta
• Maximally local two-nucleon interactions at N${}^3$LO in $\Delta$-less chiral effective field theory
• Neutron elastic scattering on calcium isotopes from chiral nuclear optical potentials
• Inference of the low-energy constants in $\Delta$-full chiral effective field theory including a correlated truncation error
• Three-body forces and Efimov physics in nuclei and atoms
• Wave-function-based emulation for nucleon-nucleon scattering in momentum space
• Ab initio calculation of charge symmetry breaking in $A=7$ and $8$ $\Lambda$-hypernuclei
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Strong CP violation in nuclear physics
• Properties of nuclear matter in relativistic Brueckner-Hartree-Fock model with high-precision charge-dependent potentials
• Uncertainty quantification in electromagnetic observables of nuclei
• Neutron-deuteron scattering cross-sections with chiral $NN$ interactions using wave-packet continuum discretization
• Theoretical uncertainties of the elastic nucleon-deuteron scattering observables
• Subleading contributions to the nuclear scalar isoscalar currents
• A Hybrid Direct-Iterative Method for Solving KKT Linear Systems
• Effective field theory for shallow P-wave states
• Proton-${}^3\mathrm{He}$ elastic scattering at intermediate energies
• Proton pairing in neutron stars from chiral effective field theory
• High-resolution momentum distributions from low-resolution wave functions
• Bayesian truncation errors in equations of state of nuclear matter with chiral nucleon-nucleon potentials
• Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations
• Spectroscopic properties of 4He within a multiphonon approach
• Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter
• Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory
• Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions
• Contact operators in renormalization of attractive singular potentials
• Two-pion exchange as a leading-order contribution in chiral effective field theory
• Operator evolution from the similarity renormalization group and the Magnus expansion
• The quasi-deuteron model at low RG resolution
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Calculations of $p(n,\gamma )d$ reaction in chiral effective field theory
• S-shell $\Lambda \Lambda$ hypernuclei based on chiral interactions
• Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties
• Perturbative computations of neutron-proton scattering observables using renormalization-group invariant $\chi$EFT up to N${}^3$LO
• Ab initio no-core shell model study of neutron-rich ${}^{18,19,20}$C isotopes
• Perturbative treatment of three-nucleon force contact terms in three-nucleon Faddeev equations
• Comprehensive investigation of the symmetric space-star configuration in the nucleon-deuteron breakup
• Faddeev Calculation of ${}_{\Lambda }^3$H incorporating 2π-exchange $\Lambda$NN Interaction
• A brief account of Steven Weinberg's legacy in ab initio many-body theory
• Can the strong interactions between hadrons be determined using femtoscopy?
• Two-pion exchange for coupled-channel scattering of two heavy mesons
• Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces
• Uncertainties in ab initio nuclear structure calculations with chiral interactions
• Study of Three-Nucleon Dynamics in the dp breakup collisions using the WASA detector
• Non-perturbative methods for NN singular interactions
• The triton lifetime from nuclear lattice effective field theory
• Faddeev calculations of low-energy $\Lambda$-deuteron scattering and momentum correlation function
• Applications of the chiral potential with the semi-local regularization in momentum space to the disintegration processes
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Nucleon-Nucleon Scattering with Coupled Nucleon-Delta Channels in Chiral Effective Field Theory
• Wave-packet continuum discretisation for nucleon-nucleon scattering predictions
• Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering
• Momentum dependent nucleon-nucleon contact interaction from a relativistic Lagrangian
• Status of the hyperon-nucleon interaction in chiral effective field theory
• Chiral symmetry and peripheral neutron-$\alpha$ scattering
• Chiral uncertainties in ab initio nucleon-nucleus elastic scattering
• Measurement of the ${}^1{S}_0$ neutron-neutron effective range in neutron-deuteron breakup
• Pairing properties of semilocal coordinate&momentum-space regularized chiral interactions
• Revisiting proton-proton fusion in chiral effective field theory
• Low-energy theorems for neutron-proton scattering in $\chi$EFT using a perturbative power counting
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• Deciphering the mechanism of $J/\psi$-nucleon scattering
• Radiative pion photoproduction in covariant chiral perturbation theory
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• $\Lambda$-deuteron momentum correlation functions incorporating deuteron breakup contributions in Faddeev formulation
• Exactness of the normal-ordered two-body truncation of three-nucleon forces
• Regulator constraints for the perturbative renormalizability of attractive triplets
• Reexamining the perturbative renormalizability of the coupled triplets
• Local two- and three-nucleon chiral interactions
• Effective Field Theories for Neutron Stars Physics
• Perturbative $\chi$EFT calculations of the deuteron and triton up to N${}^2$LO
• Renormalization of NN Chiral EFT, my personal mixed feelings
• Electron and neutrino scattering off the deuteron in a relativistic framework
• Correlations among neutron-proton and neutron-deuteron elastic scattering observables
• Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations
• Dark matter scattering off ${}^4$He in chiral effective field theory
• Possible ${\Sigma }_c^{\ast }\bar{\Sigma }$ molecular states
• The one-pion-exchange potential with contact terms from lattice QCD simulations
• Active learning emulators for nuclear two-body scattering in momentum space
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• Pions and Contacts at N4LO: Some details on the chiral nuclear force
• Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
• Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order
• Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He
• Constraining Hamiltonians from chiral effective field theory with neutron-star data
• Significance of chiral three-nucleon force contact terms for understanding of elastic nucleon-deuteron scattering
• Efficient emulator for solving three-nucleon continuum Faddeev equations with chiral three-nucleon force comprising any number of contact terms
• Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation