Variational calculations with explicit energy functionals for fermion systems at zero temperature

18th International Conference on Recent Progress in Many-Body Theories

Takano, M.^1,2 ; Suzuki, T.^2 ; Sakumichi, N.^3

Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo

169-8555, Japan^1

Department of Physics and Applied Physics, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo

169-8555, Japan^2

Center for Soft Matter Physics, Ochanomizu University, 2-2-1 Otsuka, Bunkyo-ku, Tokyo

112-8610, Japan^3

关键词: Auxiliary-fields;    Energy functionals;    Euler-Lagrange equations;    Fermion systems;    Three-body potential;    Variational calculation;    Variational methods;    Zero temperatures;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/702/1/012016/pdf
DOI  :  10.1088/1742-6596/702/1/012016

来源: IOP

【 摘 要 】

The variational method with explicit energy functionals (EEFs) is applied to infinite neutron matter. Starting from the Argonne v8' two-body potential and the repulsive part of the Urbana IX three-body potential, the energy per neutron is expressed explicitly with the spin-dependent central, tensor, and spin-orbit distribution functions. This EEF is constructed as an extension of the previously proposed one for the Argonne v6' potential, including central and tensor forces. The Euler-Lagrange equations derived from this EEF are solved numerically. The obtained fully minimized energy with this EEF is in good agreement with that obtained from the auxiliary field diffusion Monte Carlo calculation.