1993/09/28 by Robert S. Fritz, R. Fritz, H. Müther · 6 citations
Physics and Astronomy · #Atomic and Molecular Physics #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.49.633
26 pages, 3 figures not included, TU-93-2809
arxiv created 1993/09/28 · openalex publication_date 1994/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Two different approximation schemes for the self-consistent solution of the relativistic Brueckner-Hartree-Fock equation for finite nuclei are discussed using realistic one-boson-exchange potentials. In a first scheme, the effects of correlations are deduced from a study of nuclear matter and parametrized in terms of an effective \ensuremathσ, \ensuremathω, and \ensuremathπ exchange. Employing this effective interaction relativistic Hartree-Fock equations are solved for finite nuclei 16O, 40Ca, and 48Ca. In the second approach the effect of correlations are treated in the Brueckner-Hartree-Fock approximation directly for the finite nuclei, but the modifications of the Dirac spinors in the medium are derived from nuclear matter assuming a local-density approximation. Both approaches yield rather similar results for binding energies and radii in fair agreement with experimental data. The importance of the density dependent correlation effects is demonstrated and different ingredients to the spin-orbit splitting in the shell model of the nucleus are discussed.