2023 Impact factor 2.6
Hadrons and Nuclei

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. Flocard3

1  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


(Received: 31 May 2001 / Revised version: 31 July 2001 Communicated by P. Schuck)

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 - $190 \leq A \leq 219$ .

© Società Italiana di Fisica, Springer-Verlag August