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The European Physical Journal A

, Volume 35, Issue 3, pp 343–355 | Cite as

Chiral effective field theory on the lattice at next-to-leading order

  • B. Borasoy
  • E. Epelbaum
  • H. Krebs
  • D. LeeEmail author
  • U. -G. Meißner
Regular Article - Theoretical Physics

Abstract.

We study nucleon-nucleon scattering on the lattice at next-to-leading order in chiral effective field theory. We determine phase shifts and mixing angles from the properties of two-nucleon standing waves induced by a hard spherical wall in the center-of-mass frame. At fixed lattice spacing we test model independence of the low-energy effective theory by computing next-to-leading-order corrections for two different leading-order lattice actions. The first leading-order action includes instantaneous one-pion exchange and same-site contact interactions. The second leading-order action includes instantaneous one-pion exchange and Gaussian-smeared interactions. We find that in each case the results at next-to-leading order are accurate up to corrections expected at higher order.

PACS.

13.75.Cs Nucleon-nucleon interactions (including antinucleons, deuterons, etc.) 21.30.-x Nuclear forces 21.45.Bc Two-nucleon system 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2008

Authors and Affiliations

  • B. Borasoy
    • 1
  • E. Epelbaum
    • 1
    • 2
  • H. Krebs
    • 1
    • 2
  • D. Lee
    • 3
    • 1
    Email author
  • 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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