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

. 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...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2008-03, Vol.35 (3), p.343-355
Main Authors: Borasoy, B., Epelbaum, E., Krebs, H., Lee, D., Meißner, U. -G.
Format: Article
Language:English
Subjects:
Hadrons
Heavy Ions
Nuclear Fusion
Nuclear Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Regular Article - Theoretical Physics
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Summary:. 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.
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/i2008-10544-3