Abstract
The extended Skyrme force has been used to calculate self-consistently ground-state properties, pairing correlations and properties of excited states of spherical nuclei throughout the whole mass region. The shell-model matrix elements exhibit the same behaviour as the bare reaction matrix elements of realistic interactions, and to be renormalized due to core polarization effects (3p-1h, 4p-2h), to generate good effective interactions. A numerical application on 42Ca is presented.
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