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Energy levels of the double $\Lambda$ hypernucleus, $^{11}_{\Lambda\Lambda}$Be are calculated within the framework of an $\alpha \alpha n \Lambda\Lambda$ five-body model. Interactions between constituent particles aredetermined so as to reproduce reasonably the observed low-energy properties ofthe $\alpha \alpha$, $\alpha \alpha n$ nuclei and the existing data for$\Lambda$-binding energies of the $\alpha \Lambda$, $\alpha \alpha \Lambda$,$\alpha n \Lambda$ and $\alpha \alpha n \Lambda$ systems. An effective $\Lambda\Lambda$ interaction is constructed so as to reproduce, within the $\alpha\Lambda \Lambda$ three-body model, the $B_{\Lambda \Lambda}$ of $^6_{\Lambda\Lambda}$He, which was extracted from the emulsion experiment, the NAGARAevent. With no adjustable parameters for the $\alpha \alpha n \Lambda \Lambda$system, $B_{\Lambda \Lambda}$ of the ground and bound excited states of$^{11}_{\Lambda \Lambda}$Be are calculated with the Gaussian Expansion Method.The Hida event, recently observed at KEK-E373 experiment, is interpreted as anobservation of the ground state of the $^{11}_{\Lambda \Lambda}$Be.

Five-body cluster structure of double-$\Lambda$ hypernucleus $^{11}_{\Lambda \Lambda}$Be