Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group

Abstract

In recent years, the Similarity Renormalization Group has provided a powerful and versatile means to soften interactions for ab initio nuclear calculations. The substantial contribution of both induced and initial three-body forces to the nuclear interaction has required the consistent evolution of free-space Hamiltonians in the three-particle space. We present the most recent progress on this work, extending the calculational capability to the p-shell nuclei and showing that the hierarchy of induced many-body forces is consistent with previous estimates. Calculations over a range of the flow parameter for 6Li, including fully evolved NN+3N interactions, show moderate contributions due to induced four-body forces and display the same improved convergence properties as in lighter nuclei. A systematic analysis provides further evidence that the hierarchy of many-body forces is preserved.

26 pages, 15 figures, and 5 tables

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Cited by in corpus (85)

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• Corrections to nuclear energies and radii in finite oscillator spaces
• Ab initio many-body calculation of the 7Be(p,gamma)8B radiative capture
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• Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group
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• Momentum space evolution of chiral three-nucleon forces
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• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Systematic expansion for infrared oscillator basis extrapolations
• Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• Neutron matter at finite temperature based on chiral effective field theory interactions
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• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
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• The Renormalization Group in Nuclear Physics
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• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• Infrared extrapolations of quadrupole moments and transitions
• Nuclear Reactions from Lattice QCD
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• Symmetries of the Similarity Renormalization Group for Nuclear Forces
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• Nuclear physics uncertainties in light hypernuclei
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• Deuteron electrodisintegration with unitarily evolved potentials
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• From nucleons to nuclei to fusion reactions
• Properties of infrared extrapolations in a harmonic oscillator basis
• Local Projections of Low-Momentum Potentials
• Spectroscopic properties of 4He within a multiphonon approach
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• Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing
• Convergence Properties of the Effective Theory for Trapped Bosons
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• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
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• Systematic study of large-momentum distribution in nuclei with the operator product expansion
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions
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