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.

5 pages, 4 figures

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Cited by in corpus (15)

• Three-body forces: From cold atoms to nuclei
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• In-medium similarity renormalization group with three-body operators
• Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
• Living on the edge of stability, the limits of the nuclear landscape
• Pairing in neutron matter: New uncertainty estimates and three-body forces
• Neutron matter based on consistently evolved chiral three-nucleon interactions
• Alternative similarity renormalization group generators in nuclear structure calculations
• Self-consistent Green's functions with three-body forces
• Implicit and explicit renormalization: two complementary views of effective interactions
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions
• On-shell transition of SRG and nuclear systems