Subleading contributions to the chiral three-nucleon force I: long-range terms

Abstract

We derive the long-range contributions to the tree-nucleon force at next-to-next-to-next-to-leading order in the chiral expansion. We give both momentum and coordinate space representations.

15 pages, 4 figures

References in corpus (17)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The two-nucleon system at next-to-next-to-next-to-leading order
• Three-Nucleon Forces from Chiral Effective Field Theory
• Realistic models of pion-exchange three-nucleon interactions
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Chiral Perturbation Theory and Baryon Properties
• Aspects of chiral pion-nucleon physics
• Nuclear forces in the chiral limit
• Chiral Symmetry and Three-Nucleon Forces
• Spectra and binding energy predictions of chiral interactions for 7Li
• Four-nucleon force in chiral effective field theory
• Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
• Four-nucleon force using the method of unitary transformation
• Nucleon-Nucleon Potential: Drift Effects
• The three-nucleon system as a laboratory for nuclear physics: the need for 3N forces

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