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The European Physical Journal A

, Volume 41, Issue 1, pp 125–139 | Cite as

Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order

  • E. Epelbaum
  • H. Krebs
  • D. Lee
  • U. -G. Meißner
Regular Article - Theoretical Physics

Abstract

We consider low-energy nucleons at next-to-next-to-leading order in lattice chiral effective field theory. Three-body interactions first appear at this order, and we discuss several methods for determining three-body interaction coefficients on the lattice. We compute the energy of the triton and low-energy neutron-deuteron scattering phase shifts in the spin-doublet and spin-quartet channels using Lüscher’s finite-volume method. In the four-nucleon system we calculate the energy of the \( \alpha\) -particle using auxiliary fields and projection Monte Carlo.

PACS

21.45.Ff Three-nucleon forces 21.10.Dr Binding energies and masses 21.45.-v Few-body systems 13.75.Cs Nucleon-nucleon interactions (including antinucleons, deuterons, etc.) 

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • E. Epelbaum
    • 1
    • 2
  • H. Krebs
    • 2
    • 1
  • D. Lee
    • 3
    • 2
  • U. -G. Meißner
    • 2
    • 1
    • 4
  1. 1.Institut für Kernphysik (IKP-3) and Jülich Center for Hadron PhysicsForschungszentrum JülichJülichGermany
  2. 2.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical PhysicsUniversität BonnBonnGermany
  3. 3.Department of PhysicsNorth Carolina State UniversityRaleighUSA
  4. 4.Institute for Advanced Simulations (IAS)Forschungszentrum JülichJülichGermany

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