Eur. Phys. J. A 11, 393-402 (August)
GCM analysis of the collective properties of lead isotopes with exact projection on particle numbers
P.-H. Heenen1, A. Valor1, M. Bender1, P. Bonche2 and H. Flocard31 Service de Physique Nucléaire Théorique, Université Libre de Bruxelles CP229, B-1050 Bruxelles, Belgium
2 Service de Physique Théorique, CE Saclay, F-91191, Giv-sur-Yvette Cedex, France
3 Institut de Physique Nucléaire, F-91406 Orsay Cedex, France
phheenen@ulb.ac.be
(Received: 31 May 2001 / Revised version: 31 July 2001 Communicated by P. Schuck)
Abstract
We present a microscopic analysis of the collective behaviour of the lead
isotopes in the vicinity of 208Pb. In this study, we rely on
a coherent approach based on the Generator Coordinate Method (GCM) including
exact projection on N and Z numbers within a collective space
generated by means of the constrained Hartree-Fock BCS method. With the same
Hamiltonian used in HF + BCS calculations, we have performed a comprehensive
study including monopole, quadrupole and octupole excitations as well
as pairing vibrations. We find that, for the considered nuclei, the
collective modes which modify the most the conclusions drawn from the
mean-field theory are the octupole and pairing vibrations.
21.10.-k - Properties of nuclei; nuclear energy levels.
21.60.-n - Nuclear-structure models and methods.
27.80.+w -

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