Proton-neutron coupling in the Gamow shell model: The lithium chain

N. Michel, W. Nazarewicz, and M. Płoszajczak
Phys. Rev. C 70, 064313 – Published 14 December 2004

Abstract

The shell model in the complex-k plane (the so-called Gamow shell model) has recently been formulated and applied to the structure of weakly bound, neutron-rich nuclei. The completeness relations of Newton and Berggren, which apply to the neutron case, are strictly valid for finite-range potentials. However, for long-range potentials, such as the Coulomb potential for protons, for which the arguments based on the Mittag-Leffler theory do not hold, the completeness still needs to be demonstrated. This has been done in this paper, both analytically and numerically. The generalized Berggren relations are then used in the first Gamow shell model study of nuclei having both valence neutrons and protons, namely, the lithium chain. The single-particle basis used is that of the Hartree-Fock-inspired potential generated by a finite-range residual interaction. The effect of isospin mixing in excited unbound states is discussed.

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  • Received 29 July 2004

DOI:https://doi.org/10.1103/PhysRevC.70.064313

©2004 American Physical Society

Authors & Affiliations

N. Michel1,2,3,*, W. Nazarewicz1,2,4,†, and M. Płoszajczak5,‡

  • 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
  • 3Joint Institute for Heavy-Ion Research, Oak Ridge, Tennessee 37831, USA
  • 4Institute of Theoretical Physics, Warsaw University, ulica Hoża 69, 00-681 Warsaw, Poland
  • 5Grand Accélérateur National d’Ions Lourds (GANIL), CEA/DSM-CNRS/IN2P3, Boîte Postale 55027, F-14076 Caen Cedex 05, France

  • *Electronic address: michel@mail.phy.ornl.gov
  • Electronic address: witek@utk.edu
  • Electronic address: ploszajczak@ganil.fr

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Issue

Vol. 70, Iss. 6 — December 2004

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