The parametric region in the plane defined by the ratios of the energi
es of the subsystems and the three-body ground state, in which Efimov
states can exist, is determined. We use a renormalizable model that gu
arantees the general validity of our results in the context of short-r
ange interactions. The experimental data for one-and two-neutron separ
ation energies, implies that among the halo nuclei candidates, only C-
20 has a possible Efimov state, with an estimated energy less than 14
KeV below the scattering threshold.