arXiv:1107.3064·v1·Nuclear Theory
The Similarity Renormalization Group for Three-Body Interactions in One Dimension
O. Åkerlund🇸🇪 · E. J. Lindgren🇸🇪 · J. Bergsten🇸🇪 · B. Grevholm🇸🇪 · P. Lerner🇸🇪 · R. Linscott🇸🇪 · C. Forssén🇸🇪 · L. Platter🇸🇪
Abstract
We report on recent progress of the implementation of the similarity renormalization group (SRG) for three-body interactions in a one-dimensional, bosonic model system using the plane wave basis. We discuss our implementation of the flow equations and show results that confirm that results in the three-body sector remain unchanged by the transformation of the Hamiltonian. We also show how the SRG transformation decouples low- from high-momentum nodes in the three-body sector and therefore simplifies the numerical calculation of observables.
Comments: 7 pages, 5 figures, svjour style