Competition between shell and shape clarified by novel magnetic moment measurement of 75Cu.

Exotic nuclei, characterized by excess neutrons (or protons) relative to stable nuclei, exhibit various exotic features. For example, the shell structure, representing single-particle motion in a nucleus, can vary due to nuclear force and excess neutrons, in a phenomenon called shell evolution. Despite its importance, it can be washed away by collective modes, such as surface deformation, thus, competition arises between shell and shape. Here, we present the first critical assessment of this competition by focusing on the magnetic moment of an isomeric excited state of the very neutron-rich nucleus 75Cu, as measured using the highly spin-controlled rare-isotope beams. The spin-alignment as large as 30% was achieved in 75Cu by the two-step reaction scheme incorporating a novel scheme of an angular-momentum selecting nucleon removal, which made it possible to measure the magnetic moment of the isomeric state of 75Cu for the first time. By combining this with a theoretical analysis based on a state-of-the-art numerical simulation of many-fermion correlations, it is found that the low-lying states in 75Cu are, to a large extent, of single-particle nature on top of a correlated 74Ni core. We elucidate the crucial role of shell evolution even in the presence of the collective mode, and within the same framework, we consider whether and how the double magicity of the 78Ni nucleus is restored, which is also of keen interest from the perspective of nucleosynthesis in explosive stellar processes.