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arXiv · 1106.3157

Relativistic Description of Finite Nuclei Based on Realistic $NN$ Interactions

E. N. E. van Dalen·H. Müther
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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 $\sigma,\,\omega,\,\rho,\,\delta$ 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.

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E. N. E. van Dalen, H. Müther. 2011-06-16. Relativistic Description of Finite Nuclei Based on Realistic $NN$ Interactions. https://doi.org/10.1103/physrevc.84.024320

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