https://doi.org/10.1140/epja/i2008-10633-3
Regular Article — Theoretical Physics
Systematics of collective correlation energies from self-consistent mean-field calculations
1
Institut für Theoretische Physik, Universität Erlangen, Staudtstrasse 7, D-91058, Erlangen, Germany
2
Institut für Theoretische Physik, Universität Frankfurt, Max-von-Laue-Str. 1, D-60438, Frankfurt am Main, Germany
* e-mail: kluepfel@theorie2.physik.uni-erlangen.de
Received:
7
March
2008
Revised:
4
July
2008
Published online:
12
September
2008
The collective ground-state correlations stemming from low-lying quadrupole excitations are computed microscopically. To that end, the self-consistent mean-field model is employed on the basis of the Skyrme-Hartre-Fock (SHF) functional augmented by BCS pairing. The microscopic-macroscopic mapping is achieved by quadrupole-constrained mean-field calculations which are processed further in the generator-coordinate method (GCM) at the level of the Gaussian overlap approximation (GOA). We study the correlation effects on energy, charge radii, and surface thickness for a great variety of semi-magic nuclei. A key issue is to work out the influence of variations of the SHF functional. We find that collective ground-state correlations (GSC) are robust under change of nuclear bulk properties (e.g., effective mass, symmetry energy) or of spin-orbit coupling. Some dependence on the pairing strength is observed. This, however, does not change the general conclusion that collective GSC obey a general pattern and that their magnitudes are rather independent of the actual SHF parameters.
PACS: 21.10.Dr Binding energies and masses – / 21.10.Re Collective levels – / 21.60.Ev Collective models – / 21.60.Jz Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations) –
© SIF, Springer-Verlag Berlin Heidelberg, 2008
