Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group

Abstract

The first practical method to evolve many-body nuclear forces to softened form using the Similarity Renormalization Group (SRG) in a harmonic oscillator basis is demonstrated. When applied to He4 calculations, the two- and three-body oscillator matrix elements yield rapid convergence of the ground-state energy with a small net contribution of the induced four-body force.

4 pages, 5 figures, PRL published version

References in corpus (12)

• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Recent developments in no-core shell-model calculations
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Local three-nucleon interaction from chiral effective field theory
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• Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
• The impact of bound states on similarity renormalization group transformations
• Three-Body Forces Produced by a Similarity Renormalization Group Transformation in a Simple Model