The Similarity Renormalization Group for Three-Body Interactions in One Dimension

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.

7 pages, 5 figures, svjour style

References in corpus (8)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Efimov physics in bosonic atom-trimer scattering
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
• Decoupling of Spurious Deep Bound States with the Similarity Renormalization Group
• New applications of the renormalization group method in physics -- a brief introduction

Cited by in corpus (5)

• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Momentum space evolution of chiral three-nucleon forces
• Living on the edge of stability, the limits of the nuclear landscape
• Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
• Addition and removal energies of circular quantum dots