Rn. Schmid et al., RELATIVISTIC MODELS FOR NUCLEAR-STRUCTURE CALCULATIONS - COMPARATIVE-STUDY OF MEAN-FIELD AND HARTREE-FOCK APPROXIMATION FOR SUPERHEAVY NUCLEI, Foundations of physics, 27(9), 1997, pp. 1257-1274
The relevance of exchange effects for the stability of superheavy nucl
ei is examined within a linear QHD-II model by comparing Hartree-Fock
with mean-field results. To allow a scan of the complete superheavy re
gime the recently developed local density approximation (LDA) for the
exchange potential is employed for the Hartree-fock level calculations
. It turns out that, while many nuclear properties obtained with the L
DA approach differ significantly from the corresponding mean-field res
ults, the predictions of the two methods for shell closures are very s
imilar. Furthermore, a comparison with a nonlinear variant of QHD-II s
hows that many nuclear properties obtained with the LDA in the framewo
rk of linear QHD-II are somewhere in-between the corresponding linear
and nonlinear mean-field results. This indicates that the LDA exchange
partially includes nonlinear contributions, which supports the interp
retation of the meson self-coupling as a parametrization of many-body
effects.