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

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

2009-03-09

arxiv.org/abs/0903.1666v1

Eur.Phys.J.A41:125-139,2009

Physics

Nuclear Physics

Nuclear Theory

33 pages, 9 figures

Scientific paper

10.1140/epja/i2009-10764-y

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 Luescher's finite volume method. In the four-nucleon system we calculate the energy of the alpha particle using auxiliary fields and projection Monte Carlo.

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