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The structure of the extremely proton-rich nucleus $^{11}_{~8}$O$_3$, themirror of the two-neutron halo nucleus $^{11}_{~3}$Li$_8$, has been studiedexperimentally for the first time. Following two-neutron knockout reactionswith a $^{13}$O beam, the $^{11}$O decay products were detected aftertwo-proton emission and used to construct an invariant-mass spectrum. A broadpeak of width $\sim$3\,MeV was observed. Within the Gamow coupled-channelapproach, it was concluded that this peak is a multiplet with contributionsfrom the four-lowest $^{11}$O resonant states: $J^{\pi}$=3/2$^-_1$, 3/2$^-_2$,5/2$^+_1$, and 5/2$^+_2$. The widths and configurations of these states showstrong, non-monotonic dependencies on the depth of the $p$-$^9$C potential.This unusual behavior is due to the presence of a broad threshold resonantstate in $^{10}$N, which is an analog of the virtual state in $^{10}$Li in thepresence of the Coulomb potential. After optimizing the model to the data, onlya moderate isospin asymmetry between ground states of $^{11}$O and $^{11}$Liwas found.

First observation of unbound $^{11}$O, the mirror of the halo nucleus $^{11}$Li