• Media type: E-Article
  • Title: Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
  • Contributor: Epelbaum, E. [Author]; Krebs, H. [Author]; Lee, D. [Author]; Meissner, U.G. [Author]
  • imprint: Springer, 2009
  • Published in: The European physical journal / A 41, 125 - 139 (2009). doi:10.1140/epja/i2009-10764-y
  • Language: English
  • DOI: https://doi.org/10.1140/epja/i2009-10764-y
  • ISSN: 1434-6001
  • Keywords: lattice ; perturbation theory: higher-order ; n deuteron: elastic scattering ; helium ; phase shift ; finite size ; three-body problem ; nucleon nucleon: interaction ; tritium: energy ; numerical calculations: Monte Carlo ; effective field theory: chiral ; effective potential ; n deuteron: nuclear reaction
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  • Description: 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 Luscher's finite-volume method. In the four-nucleon system we calculate the energy of the alpha-particle using auxiliary fields and projection Monte Carlo.
  • Access State: Open Access