Three-nucleon force at large distances: Insights from chiral effective field theory and the large-Nc expansion

Regular Article - Theoretical Physics

Abstract

We confirm the claim of Phillips and Schat (Phys. Rev. C 88, 034002 (2013)) 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 the above-mentioned work and that by Krebs et al. (Phys. Rev. C 87, 054007 (2013)). 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 Δ(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.

Keywords

Ring Topology Chiral Expansion Individual Topology Nucleon Axial Vector Coupling Chiral Expan 

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • E. Epelbaum
    • 1
  • A. M. Gasparyan
    • 1
    • 2
  • H. Krebs
    • 1
  • C. Schat
    • 3
  1. 1.Institut für Theoretische Physik IIRuhr-Universität BochumBochumGermany
  2. 2.SSC RF ITEPBolshaya Cheremushkinskaya 25MoscowRussia
  3. 3.Departamento de Física, FCEyNUniversidad de Buenos Aires and IFIBA, CONICET, Ciudad UniversitariaBuenos AiresArgentina

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