English

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

Nuclear Theory 2009-07-22 v1

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 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.

Keywords

Cite

@article{arxiv.0903.1666,
  title  = {Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order},
  author = {Evgeny Epelbaum and Hermann Krebs and Dean Lee and Ulf-G. Meißner},
  journal= {arXiv preprint arXiv:0903.1666},
  year   = {2009}
}

Comments

33 pages, 9 figures