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 -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.
Keywords
Cite
@article{arxiv.1304.1431,
title = {Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation},
author = {Kyle A. Wendt},
journal= {arXiv preprint arXiv:1304.1431},
year = {2013}
}