Nucleus-Dependent Valence-Space Approach to Nuclear Structure.
We present a nucleus-dependent valence-space approach for calculating ground and excited states of nuclei, which generalizes the shell-model in-medium similarity renormalization group to an ensemble reference with fractionally filled orbitals. Because the ensemble is used only as a reference, and not to represent physical states, no symmetry restoration is required. This allows us to capture three-nucleon (3N) forces among valence nucleons with a valence-space Hamiltonian specifically targeted to each nucleus of interest. Predicted ground-state energies from carbon through nickel agree with results of other large-space ab initio methods, generally to the 1% level. In addition, we show that this new approach is required in order to obtain convergence for nuclei in the upper p and sd shells. Finally, we address the 1^{+}/3^{+} inversion problem in ^{22}Na and ^{46}V. This approach extends the reach of ab initio nuclear structure calculations to essentially all light- and medium-mass nuclei.
TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada.
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Stroberg
TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada.
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Calci
Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48844, USA.
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Hergert
TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada.
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JD
Holt
Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48844, USA.
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Bogner
Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany.
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Roth
Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany.|ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany.|Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
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Schwenk