Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
arXiv:1411.3612 · doi:10.1140/epja/i2015-15026-y
Abstract
We confirm the claim of Ref. [D.R. Phillips, C. Schat, Phys. Rev. C88 (2013) 3, 034002] that 20 operators are sufficient to represent the most general local isospin-invariant three-nucleon force and derive explicit relations between the two sets of operators suggested in Refs. [D.R. Phillips, C. Schat, Phys. Rev. C88 (2013) 3, 034002] and [H. Krebs, A.M. Gasparyan, E. Epelbaum, Phys.Rev. C87 (2013) 5, 054007]. We use the set of 20 operators to discuss the chiral expansion of the long- and intermediate-range parts of the three-nucleon force up to next-to-next-to-next-to-next-to-leading order in the standard formulation without explicit Delta(1232) degrees of freedom. We also address implications of the large-N_c expansion in QCD for the size of the various three-nucleon force contributions.
15 pages, 6 figures
References in corpus (12)
- Chiral effective field theory and nuclear forces
- Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
- Three-body forces: From cold atoms to nuclei
- Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
- Subleading contributions to the chiral three-nucleon force I: long-range terms
- Local chiral effective field theory interactions and quantum Monte Carlo applications
- Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
- Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
- Delta-excitations and the three-nucleon force
- Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
- Low-energy neutron-deuteron reactions with N3LO chiral forces
- Isospin-breaking two-nucleon force with explicit Delta-excitations