Gamow shell model and realistic nucleon-nucleon interactions

G. Hagen, M. Hjorth-Jensen, and N. Michel
Phys. Rev. C 73, 064307 – Published 26 June 2006

Abstract

We present a new and efficient method to obtain a Gamow shell-model basis and matrix elements generated by realistic nucleon-nucleon interactions. We derive a self-consistent Hartree-Fock potential from the renormalized NLO3 interaction model. The corresponding Gamow one-body eigenstates are generated in a plane wave basis in order to build a Gamow shell-model set of basis states for the closed shell nuclei He4 and O16. We address also the problem of representing a realistic nucleon-nucleon interaction in a two-particle Berggren basis in the laboratory frame. To achieve this, an expansion of matrix elements of the residual nucleon-nucleon interaction in a finite set of harmonic oscillator wave functions is used. We show that all loosely bound and narrow resonant states converge surprisingly fast. Even broad resonances in these two-particle valence systems converge within a reasonable number of harmonic oscillator functions. Examples of He6 and O18 Gamow shell-model calculations using He4 and O16 as closed shell cores are presented. This procedure allows Gamow shell-model calculations to be performed with all realistic nucleon-nucleon interactions and with either momentum or position space representations for the Gamow basis. Perspectives for nuclear structure calculations of dripline nuclei are outlined.

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  • Received 10 February 2006

DOI:https://doi.org/10.1103/PhysRevC.73.064307

©2006 American Physical Society

Authors & Affiliations

G. Hagen1,2, M. Hjorth-Jensen3, and N. Michel1,2

  • 1Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
  • 2Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, USA
  • 3Department of Physics and Center of Mathematics for Applications, University of Oslo, N-0316 Oslo, Norway

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Issue

Vol. 73, Iss. 6 — June 2006

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