The three- and four-nucleon systems from chiral effective field theory
arXiv:nucl-th/0007057 · doi:10.1103/PhysRevLett.86.4787
Abstract
Recently developed chiral nucleon-nucleon (NN) forces at next-to-leading order (NLO) that describe NN phase shifts up to about 100 MeV fairly well have been applied to 3N and 4N systems. Faddeev-Yakubovsky equations have been solved rigorously. The chiral NLO forces depend on a momentum cut-off Λlying between 540-600 MeV/c. The resulting 3N and 4N binding energies are in the same range as found using standard NN potentials. In additon, low-energy 3N scattering observables are very well reproduced like for standard NN forces. Surprisingly, the long standing A_y-puzzle is resolved at NLO. The cut-off dependence of the scattering observables is rather mild.
4 pp, revtex, 3 figures
References in corpus (12)
- Chiral Dynamics in Nucleons and Nuclei
- A New Expansion for Nucleon-Nucleon Interactions
- The Two-Nucleon Potential from Chiral Lagrangians
- Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
- Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
- Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
- NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
- Modern nuclear force predictions for the alpha particle
- Pion-nucleon scattering inside the Mandelstam triangle
- Phenomenological spin-orbit three-body force
- The Power Of Effective Field Theories In Nuclei: The Deuteron, NN Scattering and Electroweak Processes
- The Puzzle and the Nuclear Force
Cited by in corpus (62)
- Modern Theory of Nuclear Forces
- Universality in Few-body Systems with Large Scattering Length
- Pentaquark and Tetraquark states
- Effective Field Theory for Few-Nucleon Systems
- Three-Nucleon Forces from Chiral Effective Field Theory
- Few-Nucleon Forces and Systems in Chiral Effective Field Theory
- Recent developments in no-core shell-model calculations
- Renormalization of One-Pion Exchange and Power Counting
- Unified ab initio approaches to nuclear structure and reactions
- Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
- The alpha-particle based on modern nuclear forces
- On the correlation between the binding energies of the triton and the alpha-particle
- Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
- Resonance saturation for four-nucleon operators
- Efimov States in Nuclear and Particle Physics
- Electron and Photon Scattering on Three-Nucleon Bound States
- Systematic investigation of the elastic proton-deuteron differential cross section at intermediate energies
- Neutrino-deuteron reactions at solar neutrino energies
- Three body resonances in two meson-one baryon systems
- Precision neutron interferometric measurements and updated evaluations of the n-p and n-d coherent neutron scattering lengths
- On the possibility of generating a 4-neutron resonance with a {\boldmath } isospin 3-neutron force
- Experiments in Fundamental Neutron Physics
- Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
- Low-Energy Universality in Atomic and Nuclear Physics
- How (not) to renormalize integral equations with singular potentials in effective field theory
- Perturbative nuclear physics
- Elastic electron-deuteron scattering in chiral effective field theory
- \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
- Three-Nucleon Force Effects in Nucleon Induced Deuteron Breakup: Predictions of Current Models (I)
- Systematic Low-Energy Effective Theory for Magnons and Charge Carriers in an Antiferromagnet
- Solar-neutrino reactions on deuteron in effective field theory
- Two-Hole Bound States from a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet
- Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
- Chiral NN model and Ay puzzle
- Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
- A new perspective on the Faddeev equations and the system from chiral dynamics and unitarity in coupled channels
- How to renormalize integral equations with singular potentials in effective field theory
- Low-energy p-d Scattering: High Precision Data, Comparisons with Theory, and Phase-Shift Analyses
- Precision neutron interferometric measurement of the nd coherent neutron scattering length and consequences for models of three-nucleon forces
- Renormalization of NN scattering amplitude in effective field theory
- On the Quark Mass Dependence of Two Nucleon Observables
- Three-body hadronic structure of low-lying and resonances
- Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
- Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
- A Three-Dimensional Treatment of the Three-Nucleon Bound State
- Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
- Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
- States of with within the Fixed Center Approximation to Faddeev equations
- The chiral structure of the neutron as revealed in electron and photon scattering
- The reaction 2H(p,pp)n in three kinematical configurations at E_p = 16 MeV
- Short-range three-nucleon forces and low-energy constants
- Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
- Few-body physics in effective field theory
- Precision neutron interferometric measurements of the n-p, n-d, and n-3He zero-energy coherent neutron scattering amplitudes
- Use of V_{low-k} in a chiral-perturbation-theory description of the reaction
- Two, three, many body systems involving mesons
- Lambda beta-decay in-medium
- Comparison between chiral and meson-theoretic nucleon-nucleon potentials through (p,p') reactions
- Chiral effective field theory for few-nucleon systems
- Chiral dynamics of few-nucleon systems
- Three body systems with strangeness and exotic systems
- An Effective Theory for the Four-Body System