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The collective ground-state correlations stemming from low-lying quadrupoleexcitations are computed microscopically. To that end, the self-consistentmean-field model is employed on the basis of the Skyrme-Hartre-Fock (SHF)functional augmented by BCS pairing. The microscopic-macroscopic mapping isachieved by quadrupole-constrained mean-field calculations which are processedfurther in the generator-coordinate method (GCM) at the level of the Gaussianoverlap approximation (GOA).  We study the correlation effects on energy, charge radii, and surfacethickness for a great variety of semi-magic nuclei. A key issue is to work outthe influence of variations of the SHF functional. We find that collectiveground-state correlations (GSC) are robust under change of nuclear bulkproperties (e.g., effective mass, symmetry energy) or of spin-orbit coupling.Some dependence on the pairing strength is observed. This, however, does notchange the general conclusion that collective GSC obey a general pattern andthat their magnitudes are rather independent of the actual SHF parameters.

Systematics of collective correlation energies from self-consistent mean-field calculations