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We present the first application of the newly developed EKK theory of theeffective nucleon-nucleon interaction to shell-model studies of exotic nuclei,including those where conventional approaches with fitted interactionsencounter difficulties. This EKK theory enables us to derive the interactionsuitable for several major shells ($sd$+$pf$ in this work). By using such aneffective interaction obtained from the Entem-Machleidt QCD-based$\chi\mathrm{N}^3\mathrm{LO}$ interaction and the Fujita-Miyazawa three-bodyforce, the energies, E2 properties and spectroscopic factors of low-lyingstates of neutron-rich Ne, Mg and Si isotopes are nicely described, as thefirst shell-model description of the "island of inversion" without fit of theinteraction. The long-standing question as to how particle-hole excitationsoccur across the $sd$-$pf$ magic gap is clarified with distinct differencesfrom the conventional approaches. The shell evolution is shown to appearsimilarly to earlier studies.

Exotic neutron-rich medium-mass nuclei with realistic nuclear forces