Journal Article

PreJuSER-58652

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Lattice simulations for light nuclei: Chiral effective field theory at leading order

Borasoy, B. ; Epelbaum, E.FZJ* ; Krebs, H.FZJ* ; Lee, D. ; Meissner, U. G.FZJ*

2007
Springer Berlin

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Please use a persistent id in citations: http://hdl.handle.net/2128/10543  doi:10.1140/epja/i2006-10154-1

Abstract: We discuss lattice simulations of light nuclei at leading order in the chiral effective field theory. Using lattice pion fields and auxiliary fields, we include the physics of instantaneous one-pion exchange and the leading-order S-wave contact interactions. We also consider higher-derivative contact interactions which adjust the S-wave scattering amplitude at higher momenta. By construction our lattice path integral is positive definite in the limit of exact Wigner SU(4) symmetry for any even number of nucleons. This SU(4) positivity and the approximate SU(4) symmetry of the low-energy interactions play an important role in suppressing sign and phase oscillations in Monte Carlo simulations. We assess the computational scaling of the lattice algorithm for light nuclei with up to eight nucleons and analyze in detail calculations of the deuteron, triton, and helium-4.

Keyword(s): light nucleus: nuclear model ; deuteron ; tritium ; helium: nuclide ; lattice field theory ; many-body problem ; effective Lagrangian: chiral ; scattering amplitude: partial wave ; symmetry: SU(4) ; path integral ; pi nucleon: coupling ; nucleon nucleon: interaction ; light nucleus: wave function ; light nucleus: form factor ; numerical calculations: Monte Carlo

Note: Record converted from VDB: 12.11.2012

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Research Program(s):

1. Physik der Hadronen und Kerne (P53)

Appears in the scientific report 2007

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