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Ab initio Gorkov-Green's function calculations of open-shell nuclei

V. Somà, C. Barbieri, and T. Duguet
Phys. Rev. C 87, 011303(R) – Published 24 January 2013

Abstract

We present results from a new ab initio method that uses the self-consistent Gorkov-Green's function theory to address truly open-shell systems. The formalism has been recently worked out up to second order and is implemented here in nuclei on the basis of realistic nuclear forces. Benchmark calculations indicate that the method is in agreement with other ab initio approaches in doubly closed shell 40Ca and 48Ca. We find good convergence of the results with respect to the basis size in 44Ca and 74Ni and discuss quantities of experimental interest including ground-state energies, pairing gaps, and particle addition and removal spectroscopy. These results demonstrate that the Gorkov method is a valid alternative to multireference approaches for tackling degenerate or near-degenerate quantum systems. In particular, it increases the number of mid-mass nuclei accessible in an ab initio fashion from a few tens to a few hundred.

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  • Received 12 August 2012

DOI:https://doi.org/10.1103/PhysRevC.87.011303

©2013 American Physical Society

Authors & Affiliations

V. Somà1,2,*, C. Barbieri3,†, and T. Duguet4,5,‡

  • 1Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 3Department of Physics, University of Surrey, Guildford GU2 7XH, United Kingdom
  • 4CEA–Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette, France
  • 5National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA

  • *vittorio.soma@physik.tu-darmstadt.de
  • C.Barbieri@surrey.ac.uk
  • thomas.duguet@cea.fr

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Issue

Vol. 87, Iss. 1 — January 2013

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