Three-body forces produced by a similarity renormalization group transformation in a simple model

Journal Article · Sun Jun 15 04:00:00 EDT 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2007.09.001· OSTI ID:21163706

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.

• OSTI ID: 21163706
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 6 Vol. 323; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GROUP THEORY
HAMILTONIANS
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
QUANTUM FIELD THEORY
RENORMALIZATION
THREE-BODY PROBLEM
TRANSFORMATIONS