Chiral effective field theory on the lattice at next-to-leading order
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.
Keywords
Cite
@article{arxiv.0712.2990,
title = {Chiral effective field theory on the lattice at next-to-leading order},
author = {Bugra Borasoy and Evgeny Epelbaum and Hermann Krebs and Dean Lee and Ulf-G. Meißner},
journal= {arXiv preprint arXiv:0712.2990},
year = {2008}
}
Comments
30 pages, 10 figures, published version