The exact wave function of an isolated three-body resonance at finite scattering length is obtained for two identical particles interacting with another one via a pairwise zero-range potential. The corresponding universal spectrum is studied as a function of the scattering length. The universality of the results is illustrated by considering a model with finite-range interactions.

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• Cold and ultracold molecules
• Cold atoms & matter waves
• Few-body systems
• Lifetimes & widths
• Ultracold collisions