Unitary ambiguity of NN contact interactions and the 3N force

Abstract

We identify a redundancy between two- and three-nucleon contact interactions at the fourth and fifth order of the chiral expansion respectively. In particular we show that tensor-type and spin-orbit three-nucleon contact interactions effectively account for that part of the two-nucleon interaction which depends on the total center-of-mass momentum and is unconstrained by relativity. This might give the chiral effective field theory enough flexibility to successfully address $A=3$ scattering observables already at N3LO.

arXiv comment9 pages, discussion extended to OPE 3NF

References in corpus (25)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Effective Field Theory for Few-Nucleon Systems
• Three-Nucleon Forces from Chiral Effective Field Theory
• The Two-Nucleon Potential from Chiral Lagrangians
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Effective Field Theory of Nuclear Forces
• 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
• Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
• Subleading contributions to the three-nucleon contact interaction
• A recipe for EFT uncertainty quantification in nuclear physics
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• Nuclear axial current operators to fourth order in chiral effective field theory
• Phenomenological spin-orbit three-body force
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Short-range three-nucleon interaction from A=3 data and its hierarchical structure
• Relativity constraints on the two-nucleon contact interaction

Cited by in corpus (10)

• Nuclear properties with semilocal momentum-space regularized chiral interactions beyond N2LO
• Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei
• Effect of the N3LO three-nucleon contact interaction on p-d scattering observables
• Three-body forces and Efimov physics in nuclei and atoms
• Comprehensive investigation of the symmetric space-star configuration in the nucleon-deuteron breakup
• Can the strong interactions between hadrons be determined using femtoscopy?
• Momentum dependent nucleon-nucleon contact interaction from a relativistic Lagrangian
• Local two- and three-nucleon chiral interactions
• Correlations among neutron-proton and neutron-deuteron elastic scattering observables
• Efficient emulator for solving three-nucleon continuum Faddeev equations with chiral three-nucleon force comprising any number of contact terms