Abstract
Based on the density functional approach to quantum hadrodynamics a local effective exchange potential for use in nuclear structure calculations beyond the mean-field approximation has been developed. For a conceptual study of the density functional technique the resulting Kohn-Sham single-particle equations have been solved for several spherical nuclei within the linear \ensuremath{\sigma}-\ensuremath{\omega} model. A detailed comparison with Hartree-Fock results is given.
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