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Using the Argonne V18 interaction, renormalized with the Lee-Suzuki method,we study nuclei around the $N=20$ island of inversion. We include 5 majoroscillator shells, in a no-core approach, using the Hybrid Multi-Determinantmethod reaching up to few hundreds Slater determinants. Although qualitativelyin agreement with the experimental levels, the calculated BE2 do not show thesame amount of collectivity seen experimentally.

Description of nuclei around N=20 starting from the Argonne V18 interaction