Nucleus-Dependent Valence-Space Approach to Nuclear Structure

S. R. Stroberg, A. Calci, H. Hergert, J. D. Holt, S. K. Bogner, R. Roth, and A. Schwenk
Phys. Rev. Lett. 118, 032502 – Published 20 January 2017
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Abstract

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 Na22 and V46. This approach extends the reach of ab initio nuclear structure calculations to essentially all light- and medium-mass nuclei.

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  • Received 11 July 2016

DOI:https://doi.org/10.1103/PhysRevLett.118.032502

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

S. R. Stroberg1,*, A. Calci1, H. Hergert2, J. D. Holt1, S. K. Bogner2, R. Roth3, and A. Schwenk3,4,5

  • 1TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
  • 2Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48844, USA
  • 3Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 4ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 5Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany

  • *sstroberg@triumf.ca

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Issue

Vol. 118, Iss. 3 — 20 January 2017

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