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Doubly magic nuclei have a simple structure and are the cornerstones forentire regions of the nuclear chart. Theoretical insights into the supposedlydoubly magic $^{78}$Ni and its neighbors are challenging because of the extremeneutron-to-proton ratio and the proximity of the continuum. We predict the$J^\pi=2_1^+$ state in $^{78}$Ni from a correlation with the $J^\pi=2_1^+$state in $^{48}$Ca using chiral nucleon-nucleon and three-nucleon interactions.Our results confirm that $^{78}$Ni is doubly magic, and the predicted low-lyingstates of $^{79,80}$Ni open the way for shell-model studies of many more rareisotopes.

Structure of $^{78}$Ni from first principles computations