Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-08-12
AnnalsPhys.323:1478-1501,2008
Physics
Nuclear Physics
Nuclear Theory
25 pages, 18 figures, minor typos corrected and references updated
Scientific paper
10.1016/j.aop.2007.09.001
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.
Bogner Scott K.
Furnstahl R. J.
Perry Robert J.
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