Relativistic Description of Finite Nuclei Based on Realistic $NN$ Interactions
Abstract
A set of relativistic mean field models is constructed including the Hartree and Hartree-Fock approximation accounting for the exchange of isoscalar and isovector mesons as well as the pion. Density dependent coupling functions are determined to reproduce the components of the nucleon self-energy at the Fermi surface, obtained within the Dirac-Brueckner-Hartree-Fock (DBHF) approach using a realistic nucleon-nucleon interaction. It is investigated, to which extend the various mean field models can reproduce the DBHF results for the momentum dependence of the self-energies and the total energy of infinite matter. The mean field models are also used to evaluate the bulk properties of spherical closed-shell nuclei. We find that the Hartree-Fock model allowing for the exchange of mesons and pions, yield the best reproduction of the DBHF results in infinite matter and also provides a good description of the properties of finite nuclei without any adjustment of parameters.
Keywords
Cite
@article{arxiv.1106.3157,
title = {Relativistic Description of Finite Nuclei Based on Realistic $NN$ Interactions},
author = {E. N. E. van Dalen and H. Müther},
journal= {arXiv preprint arXiv:1106.3157},
year = {2011}
}
Comments
12 pages, 6 figures