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We study the ground and excited resonance states of $^{26}$O with athree-body model of $^{24}$O+n+n taking into account the coupling to thecontinuum. To this end, we use the new experimental data for the invariant massspectroscopy of the unbound $^{25}$O and $^{26}$O nuclei, and present an updateof three-body model calculations for the two-neutron decay of the $^{26}$Onucleus. With the new model inputs determined with the ground state decay of$^{26}$O, we discuss the di-neurtron correlations and a halo nature of thisnucleus, as well as the structure of the excited states. For the energy of the2$^+$ state, we achieve an excellent agreement with the experimental data withthis calculation. We show that the 2$^+$ state consists predominantly of the$(d_{3/2})^2$ configuration, for which the pairing interaction between thevalence neutrons slightly decreases its energy from the unperturbed one. Wealso discuss the structure of excited 0$^+$ states of the $^{26}$O nucleus. Inparticular, we show the existence of an excited 0$^+$ state at 3.38 MeV, whichis mainly composed of the $(f_{7/2})^2$ configuration.

Decay dynamics of the unbound $^{25}$O and $^{26}$O nuclei