  We describe 19B in terms of a 17B-n-n three-body system, where the two-body
subsystems 17B-n and n-n are unbound (virtual) states close to the unitary
limit. The energy of 19B ground state is well reproduced and two low-lying
resonances are predicted. Their eventual link with the Efimov physics is
discussed. This model can be extended to describe the recently discovered
resonant states in 20,21B.
