Abstract
We discuss systematic global investigations with modern covariant density functionals. The number of their phenomenological parameters can be reduced considerable by using microscopic input from ab-initio calculations in nuclear matter. The size of the tensor force is still an open problem. Therefore we use the first full relativistic Brueckner-Hartree-Fock calculations in finite nuclear systems in order to study properties of such functionals, which cannot be obtained from nuclear matter calculations.
Highlights
In recent years important progress has been made in the ab-initio studies of nuclear properties
Because of the tremendously growing dimensions of the underlying configuration spaces the majority of heavy nuclei are, so far, only accessible through nuclear density functional theory (DFT)
We show results obtained in Relativistic Hartree-Fock (RHF)-calculations with the phenomenological effective interaction PKO1, which has been fitted to binding energies and charge radii of a set of spherical nuclei
Summary
In recent years important progress has been made in the ab-initio studies of nuclear properties. The Brueckner-Hartree-Fock (BHF) theory is one of the most promising theories for such a purpose It provides in a fully microscopic way a density dependent effective force for mean field calculations in nuclei. In the seventies much effort has been used to carry out such calculations in finite nuclei Such non-relativistic calculations usually failed to reproduce saturation, because of the missing three-body forces. The first full RHBF calculations have been carried out for finite nuclear systems [4, 5] They provide a basis to determine in future the size of the tensor forces in covariant density functionals on a microscopic basis
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