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

TL;DR

This paper demonstrates a practical method to evolve many-body nuclear forces using the SRG in a harmonic oscillator basis, leading to rapid convergence in He4 calculations with minimal four-body force contributions.

Contribution

It introduces a novel practical approach to evolve nuclear forces with SRG in a harmonic oscillator basis, improving convergence and computational efficiency.

Findings

Rapid convergence of He4 ground-state energy

Small net contribution from induced four-body forces

Effective evolution of two- and three-body matrix elements

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.