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.

30 pages, 10 figures, published version

References in corpus (4)

• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Deconstructing triplet nucleon-nucleon scattering
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Temperature-dependent errors in nuclear lattice simulations

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• Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces
• Renormalization of a Contact Interaction on a Lattice
• Worldline Monte Carlo method for few body nuclear physics
• A Novel Regularization Scheme for Nucleon-Nucleon Lattice Simulations with Effective Field Theory
• Unquenched simulations of four-nucleon interactions
• Low Energy Continuum and Lattice Effective Field Theories