Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order

Details Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order

2006-11-23

arxiv.org/abs/nucl-th/0611087v1

Eur.Phys.J.A31:105-123,2007

Physics

Nuclear Physics

Nuclear Theory

44 pages, 15 figures

Scientific paper

10.1140/epja/i2006-10154-1

We discuss lattice simulations of light nuclei at leading order in 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.

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