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The European Physical Journal A

, Volume 31, Issue 1, pp 105–123 | Cite as

Lattice simulations for light nuclei: Chiral effective field theory at leading order

  • B. Borasoy
  • E. Epelbaum
  • H. Krebs
  • D. Lee
  • U. -G. Meißner
Regular Article - Hadron Physics

Abstract.

We discuss lattice simulations of light nuclei at leading order in the chiral effective field theory. Using lattice pion fields and auxiliary fields, we include the physics of instantaneous one-pion exchange and the leading-order S-wave contact interactions. We also consider higher-derivative contact interactions which adjust the S-wave scattering amplitude at higher momenta. By construction our lattice path integral is positive definite in the limit of exact Wigner SU(4) symmetry for any even number of nucleons. This SU(4) positivity and the approximate SU(4) symmetry of the low-energy interactions play an important role in suppressing sign and phase oscillations in Monte Carlo simulations. We assess the computational scaling of the lattice algorithm for light nuclei with up to eight nucleons and analyze in detail calculations of the deuteron, triton, and helium-4.

PACS.

21.30.-x Nuclear forces 21.45.+v Few-body systems 12.39.Fe Chiral Lagrangians 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  • B. Borasoy
    • 1
  • E. Epelbaum
    • 1
    • 2
  • H. Krebs
    • 1
    • 2
  • D. Lee
    • 3
  • U. -G. Meißner
    • 1
    • 2
  1. 1.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie)Universität BonnBonnGermany
  2. 2.Institut für Kernphysik (Theorie)Forschungszentrum JülichJülichGermany
  3. 3.Department of PhysicsNorth Carolina State UniversityRaleighUSA

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