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Background: Recent accumulation of experimental data is revealing the nucleardeformation in vicinity of 42Si. This requests systematic theoretical studiesto clarify more specific aspects of nuclear deformation and its causes.Purpose: The purpose of this study is to investigate the nature and cause ofthe nuclear deformations and its relation to the loss of the neutron magicnumber N = 28 in vicinity of 42Si. Method: The framework of antisymmetrizedmolecular dynamics with Gogny D1S density functional has been applied. Themodel assumes no spatial symmetry and can describe triaxial deformation. Italso incorporates with the configuration mixing by the generator coordinatemethod. Results: We show that the shell effects and the loss of the magicityinduce various nuclear deformations. In particular, the N = 26 and N = 30isotones have triaxially deformed ground states. We also note that the erosionof the N = 28 magicity gradually occurs and has no definite boundaries.Conclusion: The present calculation predicts various nuclear deformations invicinity of 42Si and suggests that the inter-band electric transitions are goodmeasure for it. We also remark that the magicity is lost without thesingle-particle level inversion in the oblate deformed nuclei such as 42Si.

Triaxial deformation and the loss of the N = 28 shell gap