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We explore the properties of weakly bound bosonic states in the stronglyinteracting regime. Combining a correlated-Gaussian (CG) basis set expansionwith a complex scaling method, we extract the energies and structuralproperties of bosonic cluster states with $N\le6$ for different two-bodypotentials. The identification of five- and six-body resonances attached to anexcited Efimov trimer provides strong support to the premise of Efimovuniversality in bosonic systems. Our study also reveals a rich structure ofbosonic cluster states. Besides the lowest cluster states which behave asbosonic droplets, we identify cluster states weakly bound to one or two atomsforming effective cluster-atom "dimers" and cluster-atom-atom "trimers." Theexperimental signatures of these cluster states are discussed.

Universal Five- and Six-Body Droplets Tied to an Efimov Trimer