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

被引：0
|
作者：
B. Borasoy
E. Epelbaum
H. Krebs
D. Lee
U. -G. Meißner
机构：
[1] Universität Bonn,Helmholtz
[2] Forschungszentrum Jülich,Institut für Strahlen
[3] North Carolina State University, und Kernphysik (Theorie)
来源：
The European Physical Journal A | 2007年 / 31卷
关键词：
21.30.-x Nuclear forces; 21.45.+v Few-body systems; 12.39.Fe Chiral Lagrangians;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
页码：105 / 123
页数：18
相关论文
共 50 条
  • [1] Lattice simulations for light nuclei: Chiral effective field theory at leading order
    Borasoy, B.
    Epelbaum, E.
    Krebs, H.
    Lee, D.
    Meissner, U. -G.
    [J]. EUROPEAN PHYSICAL JOURNAL A, 2007, 31 (01): : 105 - 123
  • [2] Lattice Simulations with Chiral Effective Field Theory for Light and Medium-Mass Nuclei
    Elhatisari, Serdar
    [J]. RECENT PROGRESS IN FEW-BODY PHYSICS, 2020, 238 : 585 - 595
  • [3] Improved description of light nuclei through chiral effective field theory at leading order
    Sanchez, M. Sanchez
    Smirnova, N. A.
    Shirokov, A. M.
    Maris, P.
    Vary, J. P.
    [J]. PHYSICAL REVIEW C, 2020, 102 (02)
  • [4] Chiral effective field theory on the lattice at next-to-leading order
    Borasoy, B.
    Epelbaum, E.
    Krebs, H.
    Lee, D.
    Meissner, U.-G.
    [J]. EUROPEAN PHYSICAL JOURNAL A, 2008, 35 (03): : 343 - 355
  • [5] Chiral effective field theory on the lattice at next-to-leading order
    B. Borasoy
    E. Epelbaum
    H. Krebs
    D. Lee
    U. -G. Meißner
    [J]. The European Physical Journal A, 2008, 35 : 343 - 355
  • [6] Nuclear lattice simulations with chiral effective field theory
    Lee, D
    Borasoy, B
    Schaefer, T
    [J]. PHYSICAL REVIEW C, 2004, 70 (01): : 014007 - 1
  • [7] Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
    Borasoy, B.
    Epelbaum, E.
    Krebs, H.
    Lee, D.
    Meissner, U. -G.
    [J]. EUROPEAN PHYSICAL JOURNAL A, 2008, 35 (03): : 357 - 367
  • [8] Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
    B. Borasoy
    E. Epelbaum
    H. Krebs
    D. Lee
    U. -G. Meißner
    [J]. The European Physical Journal A, 2008, 35 : 357 - 367
  • [9] Effective Field Theory for Lattice Nuclei
    Barnea, N.
    Contessi, L.
    Gazit, D.
    Pederiva, F.
    van Kolck, U.
    [J]. PHYSICAL REVIEW LETTERS, 2015, 114 (05)
  • [10] Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
    E. Epelbaum
    H. Krebs
    D. Lee
    U. -G. Meißner
    [J]. The European Physical Journal A, 2009, 41 : 125 - 139
12345