Medium-Mass Nuclei from Chiral Nucleon-Nucleon Interactions

G. Hagen, T. Papenbrock, D. J. Dean, and M. Hjorth-Jensen
Phys. Rev. Lett. 101, 092502 – Published 29 August 2008

Abstract

We compute the binding energies, radii, and densities for selected medium-mass nuclei within coupled-cluster theory and employ a bare chiral nucleon-nucleon interaction at next-to-next-to-next-to-leading order. We find rather well-converged results in model spaces consisting of 15 oscillator shells, and the doubly magic nuclei Ca40, Ca48, and the exotic Ni48 are underbound by about 1 MeV per nucleon within the coupled-cluster singles-doubles approximation. The binding-energy difference between the mirror nuclei Ca48 and Ni48 is close to theoretical mass table evaluations. Our computation of the one-body density matrices and the corresponding natural orbitals and occupation numbers provides a first step to a microscopic foundation of the nuclear shell model.

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  • Received 20 June 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.092502

©2008 American Physical Society

Authors & Affiliations

G. Hagen1, T. Papenbrock2,1, D. J. Dean1, and M. Hjorth-Jensen3

  • 1Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 2Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
  • 3Department of Physics and Center of Mathematics for Applications, University of Oslo, N-0316 Oslo, Norway

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Issue

Vol. 101, Iss. 9 — 29 August 2008

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