Momentum space evolution of chiral three-nucleon forces

Abstract

A framework to evolve three-nucleon (3N) forces in a plane-wave basis with the Similarity Renormalization Group (SRG) is presented and applied to consistent interactions derived from chiral effective field theory at next-to-next-to-leading order (N${}^2$LO). We demonstrate the unitarity of the SRG transformation, show the decoupling of low and high momenta, and present the first investigation of universality in chiral 3N forces at low resolution scales. The momentum-space-evolved 3N forces are consistent and can be directly combined with the standard SRG-evolved two-nucleon (NN) interactions for ab-initio calculations of nuclear structure and reactions.

arXiv comment5 pages, 4 figures

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• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
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• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
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• On-shell transition of SRG and nuclear systems