Mean-field theory for fermion pairs and the ab initio particle-vibration coupling approach

被引:6
|
作者
Schuck, Peter [1 ,2 ,3 ]
机构
[1] Inst Phys Nucl Orsay, Orsay, France
[2] Univ Grenoble Alpes, LPMMC, CNRS, F-38000 Grenoble, France
[3] Univ Paris Sud, Inst Phys Nucl Orsay, CNRS, IN2P3, 15 Rue Georges Clemenceau, F-91406 Orsay, France
来源
EUROPEAN PHYSICAL JOURNAL A | 2019年 / 55卷 / 12期
关键词
SELF-CONSISTENT RPA; COLLECTIVE MOTIONS; ENERGY; TERMS;
D O I
10.1140/epja/i2019-12798-x
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
A Dyson Bethe-Salpeter equation (Dyson-BSE) for fermion pairs is presented whose kernel has a static and a one frequency dependent contribution, analogous to the self-energy of the single particle Dyson equation with the (static) mean field term and the energy dependent correlation term. The static part of the Dyson-BSE is the self-consistent mean field for the vibrations. At the same time, for the correlated single particle self-energy a full particle-vibration coupling (PVC) scattering equation is established where the vibration is the same as obtained from the Dyson-BSE. Both equations, single particle Dyson equation and Dyson-BSE, are coupled through self-consistency. Numerical results for Lipkin and 1D Hubbard chain are very promising.
引用
收藏
页数:12
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