Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges

Abstract

We discuss the application of the chiral N3LO forces to three-nucleon reactions and point to the challenges which will have to be addressed. Present approaches to solve three-nucleon Faddeev equations are based on a partial-wave decomposition. A rapid increase of the number of terms contributing to the chiral three-nucleon force when increasing the order of the chiral expansion from N2LO to N3LO forced us to develop a fast and effective method of automatized partial wave decomposition. At low energies of the incoming nucleon below about 20MeV, where only a limited number of partial waves is required, this method allowed us to perform calculations of reactions in the three-nucleon continuum using N3LO two- and three-nucleon forces. It turns out that inclusion of consistent chiral interactions, with relativistic 1/m corrections and short-range 2pi-contact term omitted in the N3LO three-nucleon force, does not explain the long standing low energy Ay-puzzle. We discuss problems arising when chiral forces are applied at higher energies, where large three-nucleon force effects are expected. It seems plausible that at higher energies, due to a rapid increase of a number of partial waves required to reach convergent results, a three-dimensional formulation of the Faddeev equations which avoids partial-wave decomposition is desirable.

31 pages, 13 figures

References in corpus (38)

• Local three-nucleon interaction from chiral effective field theory
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
• Topological deformation of isolated horizons
• N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions
• Relativity and the low energy nd Ay puzzle
• Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes
• Top-quark FCNC Productions at LHC in Topcolor-assisted Technicolor Model
• Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
• Poincaré Invariant Three-Body Scattering at Intermediate Energies
• Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies
• Realistic two-nucleon potentials for the relativistic two-nucleon Schroedinger equation
• Quasiparticle Model of Quark-Gluon Plasma at Imaginary Chemical Potential
• First Order Relativistic Three-Body Scattering
• Dineutron and the three-nucleon continuum observables
• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
• A Realistic Formalism for 4N Bound State in a Three-Dimensional Yakubovsky Scheme
• Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
• The nn quasi-free nd breakup cross section: discrepancies to theory and implications on the 1S0 nn force
• A Three-Dimensional Treatment of the Three-Nucleon Bound State
• Proposal to study $B_s\to {\bar{D}}_{sJ}$ transitions
• A New Approach to the 3D Faddeev Equation for Three-Body Scattering
• Two-body scattering without angular-momentum decomposition
• Two-Nucleon Scattering without partial waves using a momentum space Argonne V18 interaction
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• A new form of three-body Faddeev equations in the continuum
• Different Methods for the Two-Nucleon T-Matrix in the Operator Form
• N to $\Delta$ transition amplitudes from QCD sum rules
• Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit
• The three dimensional calculations of NN bound and scattering states with chiral potential up to N3LO
• Mixed Hyperbolic - Second-Order Parabolic Formulations of General Relativity
• A Realistic Three-Dimensional Calculation of 3H Binding Energy
• Soft-collinear effects in prompt photon production
• Deuteron disintegration in three dimensions
• Poincare Invariant Three-Body Scattering
• 3D calculation of Tucson-Melbourne 3NF effect in triton binding energy
• Three-body scattering in Poincaré invariant quantum mechanics

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• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
• Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
• Testing semi-local chiral two-nucleon interaction in selected electroweak processes
• Do we know how to count powers in pionless and pionful effective field theory?
• Three-body forces and Efimov physics in nuclei and atoms
• Theoretical uncertainties of the elastic nucleon-deuteron scattering observables
• Comprehensive investigation of the symmetric space-star configuration in the nucleon-deuteron breakup
• Nucleon-deuteron scattering with the JISP16 potential
• Three-Nucleon Forces
• 3H and 3He calculations without angular momentum decomposition
• Nuclear forces and ab initio calculations of atomic nuclei