Nonperturbative shell-model interactions from the in-medium similarity renormalization group

Abstract

We present the first ab initio construction of valence-space Hamiltonians for medium-mass nuclei based on chiral two- and three-nucleon interactions using the in-medium similarity renormalization group. When applied to the oxygen isotopes, we find experimental ground-state energies are well reproduced, including the flat trend beyond the drip line at 24O. Similarly, natural-parity spectra in 21,22,23,24O are in agreement with experiment, and we present predictions for excited states in 25,26O. The results exhibit a weak dependence on the harmonic-oscillator basis parameter and reproduce spectroscopy within the standard sd valence space.

6 pages, 5 figures, published version

References in corpus (19)

• Chiral effective field theory and nuclear forces
• Coupled-cluster computations of atomic nuclei
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Three-body forces: From cold atoms to nuclei
• Local three-nucleon interaction from chiral effective field theory
• Evolution of shell structure in neutron-rich calcium isotopes
• In-Medium Similarity Renormalization Group for Nuclei
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Coupled-cluster theory for three-body Hamiltonians
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Ab Initio Path to Heavy Nuclei
• Leading chiral three-nucleon forces along isotope chains in the calcium region
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Lattice Effective Field Theory for Medium-Mass Nuclei
• New precision mass measurements of neutron-rich calcium and potassium isotopes and three-nucleon forces
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Three-body forces and proton-rich nuclei
• Ab-initio shell model with a core
• Effective operators from exact many-body renormalization

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