Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation

Abstract

A new framework for computing the Similarity Renormalization Group (SRG) evolution of three-nucleon forces (3NF) in momentum representation is presented. The use of antisymmetric three-particle hyperspherical momentum states ensures unitary evolutions within certain basis truncations, much like antisymmetric harmonic oscillator SRG evolutions. Additionally, in each partial wave the $T_{\mbox{rel}}$-SRG regulator is exactly represented, similar to recent 3NF momentum representation evolutions. Unitary equivalence is demonstrated for the triton using several chiral two- plus three-nucleon interactions. This method allows for a clean visualization of the evolution of the three-nucleon forces, which manifests the SRG decoupling pattern and low-momentum universality.

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• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach
• New applications of renormalization group methods in nuclear physics
• Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Non-observable nature of the nuclear shell structure. Meaning, illustrations and consequences
• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
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• Universality in Similarity Renormalization Group Evolved Potential Matrix Elements and T-Matrix Equivalence
• Alternative similarity renormalization group generators in nuclear structure calculations
• Induced three-neutron interactions with low cutoffs for dilute neutron matter
• On-shell transition of SRG and nuclear systems
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force