https://doi.org/10.1140/epja/i2008-10544-3
Regular Article - Theoretical Physics
Chiral effective field theory on the lattice at next-to-leading order
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany
2
Institut für Kernphysik (Theorie),Forschungszentrum Jülich, D-52425, Jülich, Germany
3
Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA
* e-mail: dean_lee@ncsu.edu
Received:
10
January
2008
Accepted:
2
March
2008
Published online:
2
April
2008
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 –
© Società Italiana di Fisica and Springer-Verlag, 2008
