Abstract Shell-model calculations with density-dependent interactions are performed to investigate pf-shell nuclei, examining the ground-state energies, low-lying spectra, and E2 transition probabilities. The density-dependent terms in the interaction are self-consistently determined using the shell-model wave function for the ground state. We test three density-dependent interactions adapted from density functionals of Gogny-D1S, Gogny-GT2, and M3Y-P6. The shell-model results satisfactorily agree with the experimental data. However, the Gogny-D1S and Gogny-GT2 fail to reproduce the magicity of N = 28, while it is properly described by the M3Y-P6 functional.
Yoshinaga et al. (Tue,) studied this question.