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Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order

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arxiv 0903.1666 v1 pith:C7KVXJL5 submitted 2009-03-09 nucl-th

classification nucl-th
keywords latticeorderthree-bodychiraleffectiveenergyfieldinteractions
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider low-energy nucleons at next-to-next-to-leading order in lattice chiral effective field theory. Three-body interactions first appear at this order, and we discuss several methods for determining three-body interaction coefficients on the lattice. We compute the energy of the triton and low-energy neutron-deuteron scattering phase shifts in the spin-doublet and spin-quartet channels using Luescher's finite volume method. In the four-nucleon system we calculate the energy of the alpha particle using auxiliary fields and projection Monte Carlo.

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  1. Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO

    nucl-th 2025-07 conditional novelty 6.0 of 10

    A lattice calculation of neutron-helium-4 scattering with chiral forces at N3LO matches empirical phase shifts in the 2S1/2 and 2P3/2 channels but not the 2P1/2 channel, pointing to limitations in the three-nucleon force.

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