The Efimov effect in the halo nucleus Be-14, considered as a three-bod
y (n-n-Be-12) system, is studied employing separable potential for the
binary systems. Assuming a possibility for the existence of a low lyi
ng s-orbital state for the halo neutrons with Be-12 as core, we invest
igate its effect on the possibility of occurrence of the Efimov states
by computing the three-body integral equations. A virtual state of 2
to 4 keV for the n-Be-12 Be-12 binary system predicts not only the gro
und state energy for Be-14, which is in reasonable agreement with the
experimental value, but also shows excited states close to about zero
binding energy for the halo neutrons.