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Dirac Hartree-Fock for Finite Nuclei Employing realistic Forces

R. Fritz H. Müther·R. Machleidt
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Abstract

We discuss two different approximation schemes for the self-consistent solution of the {\it relativistic} Brueckner-Hartree-Fock equation for finite nuclei. In the first scheme, the Dirac effects are deduced from corresponding nuclear matter calculations, whereas in the second approach the local-density approximation is used to account for the effects of correlations. The results obtained by the two methods are very similar. Employing a realistic one-boson-exchange potential (Bonn~A), the predictions for energies and radii of $^{16}$O and $^{40}$Ca come out in substantially better agreement with experiment as compared to non-relativistic approaches. As a by-product of our study, it turns out that the Fock exchange-terms, ignored in a previous investigation, are not negligible.

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R. Fritz H. Müther, R. Machleidt. 1993-03-26. Dirac Hartree-Fock for Finite Nuclei Employing realistic Forces. https://doi.org/10.1103/physrevlett.71.46

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