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We describe 19B in terms of a 17B-n-n three-body system, where the two-bodysubsystems 17B-n and n-n are unbound (virtual) states close to the unitarylimit. The energy of 19B ground state is well reproduced and two low-lyingresonances are predicted. Their eventual link with the Efimov physics isdiscussed. This model can be extended to describe the recently discoveredresonant states in 20,21B.

19B isotope as a 17B-n-n three-body cluster close to unitary limit