  We study the low-lying collective excitation spectra of the neutron-deficient
lead isotopes Pb182-Pb194 by performing a configuration mixing of
angular-momentum and particle-number projected self-consistent mean-field
states. The same Skyrme interaction SLy6 is used supplemented by a
density-dependent zero-range pairing force. This study supports the
interpretation of spectra made on the grounds of more schematic models in terms
of coexisting spherical, oblate, prolate and superdeformed prolate structures.
The model qualitatively reproduces the variation of the spectra with neutron
number. Our results for E0 and E2 transition probabilities are compared with
the few existing experimental data. Finally, we predict the presence of
superdeformed bands at low excitation energy in the most neutron-deficient
isotopes.
