Model Calculation of Effective Three-Body Forces

Details Model Calculation of Effective Three-Body Forces Model Calculation of Effective Three-Body Forces

2004-11-08

arxiv.org/abs/nucl-th/0411027v1

Phys.Rev. C71 (2005) 034301

Physics

Nuclear Physics

Nuclear Theory

9 pages, Revtex4, 7 figs, submitted to PRC

Scientific paper

10.1103/PhysRevC.71.034301

We propose a scheme for extracting an effective three-body interaction originating from a two-nucleon interaction. This is based on the Q-box method of Kuo and collaborators, where folded diagrams are obtained by differentiating a sum of non-folded diagrams with respect to the starting energy. To gain insight we have studied several examples using the Lipkin model where the perturbative approach can be compared with exact results. Numerically the three-body interactions can be significant and in a matrix example good accuracy was not obtained simultaneously for both eigenvalues with two-body interactions alone.

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