Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections

Abstract

We derive the short-range contributions and the leading relativistic corrections to the three-nucleon force at next-to-next-to-next-to-leading order in the chiral expansion.

14 pages, 4 figures

References in corpus (6)

• Chiral effective field theory and nuclear forces
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
• Four-nucleon force using the method of unitary transformation
• Relativity constraints on the two-nucleon contact interaction

Cited by in corpus (120)

• Quantum Monte Carlo methods for nuclear physics
• Pentaquark and Tetraquark states
• Nuclear effective field theory: status and perspectives
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Charge, neutron, and weak size of the atomic nucleus
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Three-body forces: From cold atoms to nuclei
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Neutron matter from chiral effective field theory interactions
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• 50 Years of Quantum Chromodynamics
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
• Light-nuclei spectra from chiral dynamics
• Chiral three-nucleon force at N^4LO I: Longest-range contributions
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• Direct Astrophysical Tests of Chiral Effective Field Theory at Supranuclear Densities
• 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
• Nuclear chiral dynamics and thermodynamics
• Light nuclei with semilocal momentum-space regularized chiral interactions up to third order
• 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
• New applications of renormalization group methods in nuclear physics
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Chiral EFT based nuclear forces: Achievements and challenges
• Chiral dynamics of few- and many-nucleon systems
• Ab Initio Calculations of Medium-Mass Nuclei with Explicit Chiral 3N Interactions
• Towards high-order calculations of three-nucleon scattering in chiral effective field theory
• Momentum space evolution of chiral three-nucleon forces
• Nuclear Axial Currents in Chiral Effective Field Theory
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
• Effect of three-nucleon interaction in p-3He elastic scattering
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Electromagnetic Structure of Few-Nucleon Ground States
• Leading three-baryon forces from SU(3) chiral effective field theory
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Wavefunction matching for solving quantum many-body problems
• Nuclear Currents in Chiral Effective Field Theory
• High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Nuclear electromagnetic currents to fourth order in chiral effective field theory
• The Theory of Parity Violation in Few-Nucleon Systems
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Historical perspective and future prospects for nuclear interactions
• Nuclear matter properties with nucleon-nucleon forces up to fifth order in the chiral expansion
• Nuclear properties with semilocal momentum-space regularized chiral interactions beyond N2LO
• Parity- and time-reversal-violating nuclear forces
• Short-range three-nucleon interaction from A=3 data and its hierarchical structure
• Comparative study of three-nucleon potentials in nuclear matter
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
• Anthropic considerations in nuclear physics
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Quasiparticle interaction in nuclear matter with chiral three-nucleon forces
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• Neutron matter based on consistently evolved chiral three-nucleon interactions
• Can chiral EFT give us satisfaction?
• Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• 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
• Three-nucleon forces in the 1/Nc expansion
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• Density-dependent NN-interaction from subleading chiral 3N-forces: short-range terms and relativistic corrections
• A Three-Dimensional Treatment of the Three-Nucleon Bound State
• Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
• To which densities is spin-polarized neutron matter a weakly interacting Fermi gas?
• Unitary ambiguity of NN contact interactions and the 3N force
• Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons
• Effect of the N3LO three-nucleon contact interaction on p-d scattering observables
• Maximally local two-nucleon interactions at N${}^3$LO in $\Delta$-less chiral effective field theory
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Three-body forces and Efimov physics in nuclei and atoms
• Theoretical uncertainties of the elastic nucleon-deuteron scattering observables
• Tensor Fermi liquid parameters in nuclear matter from chiral effective field theory
• 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
• Spin-polarized neutron matter at different orders of chiral effective field theory
• Subleading contributions to the nuclear scalar isoscalar currents
• Proton pairing in neutron stars from chiral effective field theory
• Effect of three nucleon forces in p-3He scattering
• Bayesian truncation errors in equations of state of nuclear matter with chiral nucleon-nucleon potentials
• Density-dependent NN-interaction from subsubleading chiral 3N-force: Intermediate-range contributions
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Comprehensive investigation of the symmetric space-star configuration in the nucleon-deuteron breakup
• How to renormalize coupled cluster theory
• Chiral nuclear dynamics with three-body forces
• Normalizing flows for microscopic many-body calculations: an application to the nuclear equation of state
• Can the strong interactions between hadrons be determined using femtoscopy?
• Chiral Electroweak Currents in Nuclei
• Applications of the chiral potential with the semi-local regularization in momentum space to the disintegration processes
• Local two- and three-nucleon chiral interactions
• Recent Progress in the Theory of Nuclear Forces
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction
• Energy per particle of nuclear and neutron matter from subleading chiral three-nucleon interactions
• Three-Nucleon Forces
• Nuclear interactions with modern three-body forces lead to the instability of neutron matter and neutron stars
• Density-Dependent Neutron-Neutron Interaction from Subleading Chiral Three-Neutron Forces
• Three-nucleon force effects in inclusive spectra of the neutron-deuteron breakup reaction
• Nuclear lattice simulations: Status and perspectives
• Investigation of interaction of circularly and linearly polarized photon beams with polarized 3He target
• Enhancement of deltaful two-pion exchange nuclear forces
• Efficient emulator for solving three-nucleon continuum Faddeev equations with chiral three-nucleon force comprising any number of contact terms
• An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion
• Significance of chiral three-nucleon force contact terms for understanding of elastic nucleon-deuteron scattering