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Coincidences between charged particles emitted in the $\beta$-decay of$^{11}$Li were observed using highly segmented detectors. The breakup channelsinvolving three particles were studied in full kinematics allowing for thereconstruction of the excitation energy of the $^{11}$Be states participatingin the decay. In particular, the contribution of a previously unobserved stateat 16.3 MeV in $^{11}$Be has been identified selecting the $\alpha$ +$^7$He$\to\alpha$ + $^6$He+n channel. The angular correlations between the$\alpha$ particle and the center of mass of the $^6$He+n system favors spin andparity assignment of 3/2$^-$ for this state as well as for the previously knownstate at 18 MeV.

Evidence of a new state in $^{11}$Be observed in the $^{11}$Li $\beta$-decay