Chiral three-nucleon force at N^4LO I: Longest-range contributions

Abstract

We derive the sub-subleading two-pion exchange contributions to the three-nucleon force which appear at next-to-next-to-next-to-next-to-leading order in chiral effective field theory. In order to determine the low-energy constants, a complete analysis of pion-nucleon scattering at the subleading-loop order in the heavy-baryon expansion is carried out utilizing the power counting scheme employed in the derivation of the nuclear forces. We discuss the convergence of the chiral expansion for this particular three-nucleon force topology and give the values of the low-energy constants which provide the most realistic description of the three-nucleon force when the chiral expansion is truncated at next-to-next-to-leading order.

19 pages, 6 figures

References in corpus (15)

• Chiral effective field theory and nuclear forces
• Extended Partial-Wave Analysis of piN Scattering Data
• Chiral Perturbation Theory and Baryon Properties
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
• Signatures of three-nucleon interactions in few-nucleon systems
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
• Delta-excitations and the three-nucleon force
• Chiral dynamics of few- and many-nucleon systems
• Four-nucleon force using the method of unitary transformation
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Isospin-breaking two-nucleon force with explicit Delta-excitations

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