Short-range three-nucleon interaction from A=3 data and its hierarchical structure

Abstract

We construct accurate models of three-nucleon (3N) interaction by fitting, in a hybrid phenomenological approach, the low-energy constants parametrizing the subleading 3N contact operators to the triton binding energy, n-d scattering lengths, cross section and polarization observables of p-d scattering at 2 MeV center-of-mass energy. These models lead to a satisfactory description of polarized p-d scattering data in the whole energy range below the deuteron breakup threshold. In particular, the long-standing $A_y$ puzzle seems to be solved thanks to the new terms considered in the 3N force. Two types of hierarchies among the subleading contact operators are also derived, based on the large-$N_c$ counting and on a recently proposed relativistic counting. We test these hierarchies against the same experimental data and show that they are respected at a reasonable level.

arXiv comment35 pages, 9 figures

References in corpus (41)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Three-Nucleon Forces from Chiral Effective Field Theory
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Renormalization of One-Pion Exchange and Power Counting
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Generalized Dimensional Analysis
• Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
• Power counting with one-pion exchange
• Local chiral potentials and the structure of light nuclei
• Chiral three-nucleon force at N^4LO I: Longest-range contributions
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
• Polarization observables in p-d scattering below 30 MeV
• Subleading contributions to the three-nucleon contact interaction
• The Nucleon-Nucleon Potential in the 1/N_c Expansion
• Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
• Precision neutron interferometric measurements and updated evaluations of the n-p and n-d coherent neutron scattering lengths
• Power Counting of Contact-Range Currents in Effective Field Theory
• Effect of three-nucleon interaction in p-3He elastic scattering
• Leading order relativistic chiral nucleon-nucleon interaction
• Phenomenological spin-orbit three-body force
• The complex Kohn variational method applied to N-d scattering
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions
• Chiral NN model and Ay puzzle
• Relativity constraints on the two-nucleon contact interaction
• Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
• Low-energy p-d Scattering: High Precision Data, Comparisons with Theory, and Phase-Shift Analyses
• Three-nucleon forces in the 1/Nc expansion
• Proton-deuteron elastic scattering at low energies
• Evidence for Three Nucleon Force Effects in p-d Elastic Scattering
• Spin-dependent three-nucleon force effects on nucleon-deuteron scattering

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• Towards high-order calculations of three-nucleon scattering in chiral effective field theory
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Efimov Physics and Connections to Nuclear Physics
• Fast emulation of quantum three-body scattering
• Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei
• Can chiral EFT give us satisfaction?
• What is ab initio?
• Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
• Unitary ambiguity of NN contact interactions and the 3N force
• Effect of the N3LO three-nucleon contact interaction on p-d scattering observables
• The relevance of pion-exchange contributions versus contact terms in the chiral effective field theory description of nucleon-nucleon scattering
• Three-body forces and Efimov physics in nuclei and atoms
• 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
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• Mass-Energy Equivalence in Bound Three-Nucleon Systems
• Three-nucleon force effects in inclusive spectra of the neutron-deuteron breakup reaction
• Significance of chiral three-nucleon force contact terms for understanding of elastic nucleon-deuteron scattering