Quadrupole correlation energy by the generator coordinate method

K. Hagino, G. F. Bertsch, and P.-G. Reinhard
Phys. Rev. C 68, 024306 – Published 14 August 2003
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Abstract

We investigate the accuracy of several schemes to calculate ground-state correlation energies using the generator coordinate technique. Our test bed for the study is the sd-interacting boson model, equivalent to a six-level Lipkin-type model. We find that the simplified projection of a triaxial generator coordinate state using the S3 subgroup of the rotation group is not very accurate in the parameter space of the Hamiltonian of interest. On the other hand, a full rotational projection of an axial generator coordinate state gives remarkable accuracy. We also discuss the validity of the simplified treatment using the extended Gaussian overlap approximation, and show that it works reasonably well when the number of boson is 4 or larger.

  • Received 28 April 2003

DOI:https://doi.org/10.1103/PhysRevC.68.024306

©2003 American Physical Society

Authors & Affiliations

K. Hagino1,3, G. F. Bertsch2,3, and P.-G. Reinhard4

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • 2Institute for Nuclear Theory and Department of Physics, University of Washington, Seattle, Washington 98195, USA
  • 3Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406 Orsay Cedex, France
  • 4Institut für Theoretische Physik II, Universität Erlangen-Nürnberg, Staudtstrasse 7, D-91058 Erlangen, Germany

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Vol. 68, Iss. 2 — August 2003

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