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Chiral two- and three-nucleon forces along medium-mass isotope chains

V. Somà, A. Cipollone, C. Barbieri, P. Navrátil, and T. Duguet
Phys. Rev. C 89, 061301(R) – Published 5 June 2014

Abstract

Ab initio calculations have shown that chiral two- and three-nucleon interactions correctly reproduce binding energy systematics and neutron drip lines of oxygen and nearby isotopes. Exploiting the novel Gorkov-Green's function approach applicable to genuinely open-shell nuclei, we present the first ab initio investigation of Ar, K, Ca, Sc, and Ti isotopic chains. In doing so, stringent tests of internucleon interaction models are provided in the medium-mass region of the nuclear chart. Leading chiral three-nucleon interactions are shown to be mandatory to reproduce the trend of binding energies throughout these chains and to obtain a good description of two-neutron separation energies. At the same time, nuclei in this mass region are systematically overbound by about 40 MeV. While the fundamental N=20 and 28 magic numbers do emerge from basic internucleon interactions, the former is shown to be significantly overestimated, which points to deficiencies of state-of-the-art chiral potentials. The present results demonstrate that ab initio many-body calculations can now access entire medium-mass isotopic chains including degenerate open-shell nuclei and provide a critical testing ground for modern theories of nuclear interactions.

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  • Received 8 December 2013
  • Revised 15 April 2014

DOI:https://doi.org/10.1103/PhysRevC.89.061301

©2014 American Physical Society

Authors & Affiliations

V. Somà1,2,3,*, A. Cipollone4, C. Barbieri4,†, P. Navrátil5, and T. Duguet3,6,‡

  • 1Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 3CEA-Saclay, IRFU/Service de Physique Nucléaire, 91191 Gif-sur-Yvette, France
  • 4Department of Physics, University of Surrey, Guildford GU2 7XH, United Kingdom
  • 5TRIUMF, 4004 Westbrook Mall, Vancouver, British Columbia, Canada V6T 2A3
  • 6National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA

  • *vittorio.soma@cea.fr
  • C.Barbieri@surrey.ac.uk
  • thomas.duguet@cea.fr

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Issue

Vol. 89, Iss. 6 — June 2014

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