Nuclear spins and precise values of the magnetic dipole and electric quadrupole moments of the ground-states of neutron-rich Cu isotopes were measured using the Collinear Resonance Ionization Spectroscopy (CRIS) experiment at ISOLDE, CERN. The nuclear moments of the less exotic Cu isotopes were re-measured with similar precision, yielding values that are consistent with earlier measurements. The moments of the odd-odd isotopes, and Cu () in particular, are used to investigate excitations of the assumed doubly-magic Ni core through comparisons with large-scale shell-model calculations. Despite the narrowing of the shell gap between and , the magicity of and is restored towards Ni. This is due to weakened dynamical correlations, as clearly probed by the present moment measurements.

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