Lattice simulations for light nuclei: Chiral effective field theory at leading order

被引：88
作者：
Borasoy, B.
Epelbaum, E.
Krebs, H.
Lee, D.
Meissner, U. -G.
机构：
[1] Univ Bonn, Helmholtz Inst Strahlen & Kernphys Theorie, D-53115 Bonn, Germany
[2] Forschungszentrum Julich, Inst Kernphys Theorie, D-52425 Julich, Germany
[3] N Carolina State Univ, Dept Phys, Raleigh, NC 27603 USA
来源：
EUROPEAN PHYSICAL JOURNAL A | 2007年 / 31卷 / 01期
关键词：
D O I：
10.1140/epja/i2006-10154-1
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
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.
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页码：105 / 123
页数：19
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