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

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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.

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Authors and Affiliations

  1. Institut für Kernphysik (IKP-3) and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany

    E. Epelbaum, H. Krebs & U. -G. Meißner

  2. Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany

    E. Epelbaum, H. Krebs, D. Lee & U. -G. Meißner

  3. Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA

    D. Lee

  4. Institute for Advanced Simulations (IAS), Forschungszentrum Jülich, D-52425, Jülich, Germany

    U. -G. Meißner

Authors
  1. E. Epelbaum
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  4. U. -G. Meißner
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Correspondence to D. Lee.

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A. Schäfer

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Epelbaum, E., Krebs, H., Lee, D. et al. Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order. Eur. Phys. J. A 41, 125–139 (2009). https://doi.org/10.1140/epja/i2009-10764-y

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