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Magicity and occurrence of band with enhanced B(E2) in neutron-rich nuclei 68Ni and 90Zr

Experimental energy spectrum and B(E2) values in 68Ni and 90Zr indicate a double-magic character in these neutron-rich nuclei with N or Z=40. The data nevertheless do not show any pronounced irregularity in two-nucleon separation energy. To understand the underlying physics, we carry out both shell-model and mean-field calculations. The shell-model calculation can well reproduce all the observations. It is understood from the mean-field results for 68Ni that the shell gap at N=40 disappears due to dynamical correlations of the isovector J=0 pairing interaction. In 90Zr, however, such a dynamic process with the J=0 pairing appears not important because of the strong contribution of the J>0 interaction. We study also level schemes in the Ni isotopes and N=50 isotones. We predict a new band built on the $0_{2}^{+}$ state in both 68Ni and 90Zr. The states of this band are dominated by two-particle-two-hole excitations from the fp-shell to the intruder g_{9/2} orbit.