Three-Body Interactions Among Nucleons and Pions

Abstract

A chiral invariant effective Lagrangian may be used to calculate the three-body interactions among low-energy pions and nucleons in terms of known parameters. This method is illustrated by the calculation of the pion-nucleus scattering length.

16 pages plus four figures, LATEX, Texas preprint UTTG-11-92

Cited by in corpus (295)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Quantum Monte Carlo methods for nuclear physics
• Effective Field Theory for Few-Nucleon Systems
• Two-Nucleon Systems from Effective Field Theory
• The Two-Nucleon Potential from Chiral Lagrangians
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear effective field theory: status and perspectives
• Effective Field Theory for Short-Range Forces
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• The Three-Boson System with Short-Range Interactions
• A Chiral Effective Lagrangian for Nuclei
• Renormalization of One-Pion Exchange and Power Counting
• Nucleon-Nucleon Scattering from Effective Field Theory
• Quantum Simulation for High Energy Physics
• Towards a Perturbative Theory of Nuclear Forces
• Nucleon-Nucleon Effective Field Theory Without Pions
• Recent Developments in Chiral Perturbation Theory
• Effective Field Theory of Nuclear Forces
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Roy-Steiner-equation analysis of pion-nucleon scattering
• More Effective Field Theory for Nonrelativistic Scattering
• Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• The nucleon-nucleon interaction
• QCD Sum Rules and Applications to Nuclear Physics
• Chiral Symmetry and Three-Nucleon Forces
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• The deuteron: structure and form factors
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Local chiral potentials and the structure of light nuclei
• Unified equation of state for neutron stars on a microscopic basis
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Light-nuclei spectra from chiral dynamics
• Chiral Dynamics and Heavy-Fermion Formalism in Nuclei: I. Exchange Axial Currents
• A Perturbative Calculation of the Electromagnetic Form Factors of the Deuteron
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• 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 Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• The Quark-Mass Dependence of Two-Nucleon Systems
• Improving the Convergence of NN Effective Field Theory
• The $pp\to pp{\pi }^0$ Reaction near Threshold: A Chiral Power Counting Approach
• Coulomb Effects in Low Energy Proton-Proton Scattering
• Spectra and binding energy predictions of chiral interactions for 7Li
• Variation of Fundamental Couplings and Nuclear Forces
• 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
• Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory
• Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions
• Systematic study of three-nucleon force effects in the cross section of the deuteron-proton breakup at 130 MeV
• Electromagnetic two-body currents of one- and two-pion range
• Four-nucleon force in chiral effective field theory
• From Chiral Mean Field to Walecka Mean Field and Kaon Condensation
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
• Pairing in low-density Fermi gases
• Properties of the nuclear medium
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Renormalization of the one-pion-exchange interaction
• Radiative Neutron-Proton Capture in Effective Chiral Lagrangians
• Chiral Three-Nucleon Forces from p-wave Pion Production
• Isospin violation in pion-nucleon scattering
• Chiral EFT based nuclear forces: Achievements and challenges
• Electric Dipole Moments of Light Nuclei From Chiral Effective Field Theory
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Quantum Monte Carlo calculations of weak transitions in $A$=6--10 nuclei
• Nuclear Lattice Simulations with Chiral Effective Field Theory
• Electromagnetic Corrections to the One-Pion-Exchange Potential
• Four-nucleon force using the method of unitary transformation
• Towards a field theoretic understanding of NN->NNpi
• Chiral Perturbation Approach to the pp -> pp pi0 Reaction Near Threshold
• Power Counting in Dimensionally Regularized NRQCD
• Power Counting of Contact-Range Currents in Effective Field Theory
• Towards grounding nuclear physics in QCD
• Nuclear Axial Currents in Chiral Effective Field Theory
• Neutral pion photoproduction on deuterium in baryon chiral perturbation theory to order q^4
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• An updated nuclear-physics and multi-messenger astrophysics framework for binary neutron star mergers
• Momentum and Coordinate Space Three-nucleon Potentials
• Short-range interactions in an effective field theory approach for nucleon-nucleon scattering
• Low Energy Theorems For Nucleon-Nucleon Scattering
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Lattice QCD and baryon-baryon interactions: HAL QCD method
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
• Precision calculation of $\gamma d\to {\pi }^{+}nn$ within chiral perturbation theory
• Pionic deuterium
• The Polarizability of the Deuteron
• Electromagnetic Structure of Few-Nucleon Ground States
• Remarks on the pion-nucleon sigma-term
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
• Leading three-baryon forces from SU(3) chiral effective field theory
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• Equivalence of Nonstatic Two-Pion-Exchange Nucleon-Nucleon Potentials
• Isoscalar M1 and E2 Amplitudes in n+p -> d+gamma
• Cheshire Cat Hadrons
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Perturbative nuclear physics
• Nuclear Currents in Chiral Effective Field Theory
• Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction
• Higher-order calculations of electron-deuteron scattering in nuclear effective theory
• The Power Of Effective Field Theories In Nuclei: The Deuteron, NN Scattering and Electroweak Processes
• Effects of Chiral Effective Field Theory Equation of State on Binary Neutron Star Mergers
• Regularization, Renormalization and Range: The Nucleon-Nucleon Interaction from Effective Field Theory
• Thermal neutron captures on $d$ and ${}^3$He
• The role of the nucleon recoil in low--energy meson--nucleus reactions
• New Ideas in Constraining Nuclear Forces
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Parity Violation in Effective Field Theory and the Deuteron Anapole Moment
• Extracting the neutron-neutron scattering length -- recent developments
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• First-principle calculations of Dark Matter scattering off light nuclei
• The Theory of Parity Violation in Few-Nucleon Systems
• Charge-Independence Breaking in the Two-Pion-Exchange Nucleon-Nucleon Force
• Recursive renormalization of the singlet one-pion-exchange plus point-like interactions
• An effective field theory for coupled-channel scattering
• The isoscalar S-wave pi-N scattering length a+ from pi-deuteron scattering
• Quartet S-wave p-d scattering in EFT
• Systematic Low-Energy Effective Theory for Magnons and Charge Carriers in an Antiferromagnet
• Gamma-Deuteron Compton Scattering in Effective Field Theory
• Solar-neutrino reactions on deuteron in effective field theory
• Nuclear matter properties with nucleon-nucleon forces up to fifth order in the chiral expansion
• Historical perspective and future prospects for nuclear interactions
• Testing Low Energy Theorems in Nucleon-Nucleon Scattering
• Chiral effective theory predictions for deuteron form factor ratios at low Q^2
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Universality of Mixed Action Extrapolation Formulae
• The contribution of chiral three-body forces to the monopole component of the effective shell-model Hamiltonian
• Two-Hole Bound States from a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet
• Renormalization in Nonrelativistic Quantum Mechanics
• The Nucleon-Mass Difference in Chiral Perturbation Theory and Nuclear Forces
• The pion-nucleon scattering lengths from pionic deuterium
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Building light nuclei from neutrons, protons, and pions
• Charge-Symmetry-Breaking Three-Nucleon Forces
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• A chiral effective field theory study of hadronic parity violation in few-nucleon systems
• Relativity constraints on the two-nucleon contact interaction
• Low energy Kbar N interactions and Faddeev calculation of the K- d scattering length in isospin and particle bases
• Compton Scattering on the Deuteron in Baryon Chiral Perturbation Theory
• The Long and Short of Nuclear Effective Field Theory Expansions
• The N N -> NN pi+ Reaction near Threshold in a Chiral Power Counting Approach
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Benchmark calculation of p-3H and n-3He scattering
• Charge independence breaking and charge symmetry breaking in the nucleon-nucleon interaction from effective field theory
• Nuclei with up to $\mathbf{A}=6$ nucleons with artificial neural network wave functions
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• Nucleon-Nucleon Interaction and Isospin Violation
• Effective Field Theory and Finite Density Systems
• Repulsive Short Range Three-Nucleon Interaction
• The multiple-scattering series in pion-deuteron scattering and the nucleon-nucleon potential: perspectives from effective field theory
• Deuteron form factors in chiral effective theory: regulator-independent results and the role of two-pion exchange
• On the role of isospin violation in the pion-nucleon $\sigma$-term
• Neutral Pion Photoproduction on Nuclei in Baryon Chiral Perturbation Theory
• Can chiral EFT give us satisfaction?
• Search for Quasi Bound $\eta$ Mesons
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Threshold $pp\to pp{\pi }^0$ up to one-loop accuracy
• The Anapole Form Factor of the Deuteron
• Nuclear forces from chiral EFT: The unfinished business
• What does a change in the quark condensate say about restoration of chiral symmetry in matter?
• Taking dibaryon fields seriously
• Systematic Power Counting in Cutoff Effective Field Theories for Nucleon-Nucleon Interactions and the Equivalence With PDS
• Nucleon-nucleon interactions from dispersion relations: Elastic partial waves
• Homogeneous versus Spiral Phases of Hole-doped Antiferromagnets: A Systematic Effective Field Theory Investigation
• Non-Relativistic Pion Interactions and the Pionium Lifetime
• n + p -> d + gamma in Effective Field Theory
• Effective field theory approach for the M1 properties of A=2 and 3 nuclei
• On the Quark Mass Dependence of Two Nucleon Observables
• Nuclear matter equation of state from a quark-model nucleon-nucleon interaction
• Why is the three-nucleon force so odd?
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Narrow resonances and short-range interactions
• Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces
• In-Medium Effective Axial-Vector Coupling Constant
• Radiative corrections to semileptonic beta decays: Progress and challenges
• In-Medium Pion Valence Distributions in a Light-Front Model
• Improved analysis of neutral pion electroproduction off deuterium in chiral perturbation theory
• Exclusive J/psi and Upsilon photoproduction and the low x gluon
• Nuclear Matter from Effective Quark-Quark Interaction
• Effective Field Theory calculations of $NN\to NN\pi$
• Can one extract the pi-neutron scattering length from pi-deuteron scattering?
• Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Pions in the Pionless Effective Field Theory
• Remarks on N N -> N N pi beyond leading order
• Pions are neither perturbative nor nonperturbative: Wilsonian renormalization group analysis of nuclear effective field theory including pions
• Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
• The Role of Baryon Structure in Neutron Stars
• NNLO Calculation of Two-Nucleon Scattering in EFT for a Two Yukawa Toy Model
• Nuclear Effective Field Theories: Reverberations of the early days
• The Nuclear Physics of Hyperfine Structure in Hydrogenic Atoms
• The N/D method with non-perturbative left-hand-cut discontinuity and the ${}^1{S}_0$ $NN$ partial wave
• Radiative Muon Capture by a Proton in Chiral Perturbation Theory
• Inequalities for low-energy symmetric nuclear matter
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• From Supernovae to Neutron Stars: A Systematic Approach to Axion Production at Finite Density
• Near threshold neutral pion electroproduction on deuterium in chiral perturbation theory
• Measured proton electromagnetic structure deviates from theoretical predictions
• Nuclear Structure at the Crossroads
• On neutral pion electroproduction off deuterium
• Three-body forces and Efimov physics in nuclei and atoms
• What Can Possibly Go Wrong?
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Hadronic Atoms
• Electron-deuteron scattering in the equal-time formalism: beyond the impulse approximation
• Chiral symmetry and QCD sum rules for the nucleon mass in matter
• 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
• Effective interactions and operators in no-core shell model
• Hadron Structure in the Non-Perturbative Regime of QCD: Isospin Symmetry and its Violation
• More about the Wilsonian analysis on the pionless NEFT
• Zone Determinant Expansions for Nuclear Lattice Simulations
• Deuteron Matrix Elements in Chiral Effective Theory at Leading Order
• Predictions for Polarized-Beam/Vector-Polarized-Target Observables in Elastic Compton Scattering on the Deuteron
• The Form of the Effective Interaction in Harmonic-Oscillator-Based Effective Theory
• Weinberg's proposal of 1990: A very personal view
• Lattice Effective Field Theory Simulations of Nuclei
• The charge-dependent Bonn potentials with pseudovector pion-nucleon coupling
• Neutron skin systematics from microscopic equations of state
• Bayesian truncation errors in equations of state of nuclear matter with chiral nucleon-nucleon potentials
• Revisiting the helium isotope-shift puzzle with improved uncertainties from nuclear structure corrections
• A Higher-Order Calculation of $np$ Scattering in Cut-Off Effective Field Theory
• Chiral Perturbation Theory in Few-Nucleon Systems
• Tensor Polarized Gamma-Deuteron Compton Scattering in Effective Field Theory
• Large-cutoff behavior of local chiral effective field theory interactions
• Elastic Compton Scattering from 3He and the Role of the Delta
• Quantum Monte Carlo formalism for dynamical pions and nucleons
• Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
• Effective Field Theory Program for Conformal Quantum Anomalies
• Electroweak Currents from Chiral Effective Field Theory
• Chiral perturbation theory for electroweak reactions on deuterium
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Foundations and Scope of Chiral Perturbation Theory
• Orthonormalization procedure for chiral effective nuclear field theory
• The Radius of PSR J0437-4715 from NICER Data
• Uncovering the mechanism of chiral three-nucleon force in driving spin-orbit splitting
• Threshold pion production in proton-proton collisions at NNLO in chiral EFT
• Temperature effects on the neutron matter equation of state obtained from chiral effective field theory
• Coherent two pion photoproduction on 12C
• Bakamjian-Thomas mass operator for the few-nucleon system from chiral dynamics
• An update of muon capture on hydrogen
• Does the Multiple-scattering Series in the Pion-deuteron Scattering Actually Converge?
• Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
• Pion parameters in nuclear medium from chiral perturbation theory and virial expansion
• Masses of Fermions in Supersymmetric Models
• Chiral Electroweak Currents in Nuclei
• What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish
• Chiral corrections to the isovector double scattering term for the pion-deuteron scattering length
• A Vision for the Science of Rare Isotopes
• Lattice QCD and Baryon-Baryon Interactions
• Momentum dependent nucleon-nucleon contact interaction from a relativistic Lagrangian
• Chiral symmetry in nuclei
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• From Kuo-Brown to today's realistic shell-model calculations
• Local two- and three-nucleon chiral interactions
• Comparison of the extended linear sigma model and chiral perturbation theory
• Role of Three-Nucleon Forces in Neutron-Rich Nuclei Beyond 132Sn
• Many-body fits of phase-equivalent effective interactions
• On the S-wave piD-scattering length in the relativistic field theory model of the deuteron
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions
• Recent Progress in the Theory of Nuclear Forces
• Nuclear Shell Model Calculations with Fundamental Nucleon-Nucleon Interactions
• States generated in the $K$-multi-$\rho$ interactions
• Unification of the physics of nucleons and nuclei
• Perturbative $\chi$EFT calculations of the deuteron and triton up to N${}^2$LO
• Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory
• Numerical study of renormalization group flows of nuclear effective field theory without pions on a lattice
• Deuteron radial moments for renormalized chiral potentials
• Three-body scattering problem in the fixed center approximation: the case of attraction
• Chiral nucleon-nucleon forces in nuclear structure calculations
• Nuclear correlation functions using first-principle calculations of lattice quantum chromodynamics
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• The one-pion-exchange potential with contact terms from lattice QCD simulations
• Weinberg and few-nucleon forces
• Renormalization group analysis of electromagnetic properties of the deuteron
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He
• Nuclear Physics from QCD
• Electromagnetic structure of light nuclei
• Pions and Contacts at N4LO: Some details on the chiral nuclear force
• Quantum N-Boson States and Quantized Motion of Solitonic Droplets: Universal Scaling Properties in Low Dimensions
• Particle-Hole Mirror Symmetries around the Half-Filled Shell: The Quantum Numbers and Algebraic Structure of Composite Fermions
• Symmetries of the nucleon-nucleon $S$-matrix and effective field theory expansions
• Electromagnetic processes in a $\chi$EFT framework
• New developments in threshold pion photo- and electroproduction
• An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion
• Nucleon mass: trace anomaly and $\sigma$-terms
• Non-Strange Meson Production with Hadronic Probes
• Perturbation theory for a systematic account of the bound-state motion
• Study of nucleonic matter with a consistent two- and three-body perturbative chiral interaction
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations