Abstract
Effective Lagrangians with non-linear coupling schemes are applied for the relativistic description of the nuclear many-body problem. The most widely used models of this type is Relativistic Mean Field (RMF) theory for closed shell nuclei and Relativistic Hartree-Bogoliubov (RHB) theory for open-shell nuclei with pairing correlations. We discuss the basic ideas of this concept and recent applications for nuclei far from the valley of stability.
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