Abstract
Shape coexistence and mixing, isospin mixing, the competition between neutron‐proton and like‐nucleon pairing correlations have been identified as the main characteristic features of nuclei near the N = Z line in the A≃70 mass region. The self‐consistent treatment of exotic phenomena dominated by their interplay represents a challenge for the nuclear many‐body models. The realistic description of tiny effects in this mass region aiming to test the fundamental interactions and symmetries as well as the required theoretical predictions concerning the nuclear properties relevant for astrophysical scenarios are still open problems of the low‐energy nuclear physics today.
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