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

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

2007-12-18

arxiv.org/abs/0712.2990v2

Eur.Phys.J.A35:343-355,2008

Physics

Nuclear Physics

Nuclear Theory

30 pages, 10 figures, published version

Scientific paper

10.1140/epja/i2008-10544-3

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.

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