https://doi.org/10.1140/epja/i2009-10764-y
Regular Article - Theoretical Physics
Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
1
Institut für Kernphysik (IKP-3) and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
2
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
3
Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA
4
Institute for Advanced Simulations (IAS), Forschungszentrum Jülich, D-52425, Jülich, Germany
* e-mail: dean_lee@ncsu.edu
Received:
17
March
2009
Accepted:
24
March
2009
Published online:
29
April
2009
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 
-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.) –
© SIF, Springer-Verlag Berlin Heidelberg, 2009
