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We compute binding energies and root mean square radii for weakly bound systems of and identical bosons. Ground and first excited states of an -body system appear below the threshold for binding the system with particles. Their root mean square radii approach constants in the limit of weak binding. Their probability distributions are on average located in non-classical regions of space which result in universal structures. Radii decrease with increasing particle number. The ground states for more than five particles are probably non-universal whereas excited states may be universal.

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