Three-Body Forces Produced by a Similarity Renormalization Group Transformation in a Simple Model
Abstract
A simple class of unitary renormalization group transformations that force hamiltonians towards a band-diagonal form produce few-body interactions in which low- and high-energy states are decoupled, which can greatly simplify many-body calculations. One such transformation has been applied to phenomenological and effective field theory nucleon-nucleon interactions with success, but further progress requires consistent treatment of at least the three-nucleon interaction. In this paper we demonstrate in an extremely simple model how these renormalization group transformations consistently evolve two- and three-body interactions towards band-diagonal form, and introduce a diagrammatic approach that generalizes to the realistic nuclear problem.
Keywords
Cite
@article{arxiv.0708.1602,
title = {Three-Body Forces Produced by a Similarity Renormalization Group Transformation in a Simple Model},
author = {S. K. Bogner and R. J. Furnstahl and R. J. Perry},
journal= {arXiv preprint arXiv:0708.1602},
year = {2008}
}
Comments
25 pages, 18 figures, minor typos corrected and references updated