We present results of quantum mechanical scattering calculations inclu
ding full rovibrational coupling on the relaxation of vibrationally ex
cited H-2 molecules in collision with ultracold He-3 and He-4 atoms. T
he exothermic vibrational deactivation cross sections exhibit minima a
t translational temperatures near 10 K and show an inverse velocity de
pendence in accordance with Wigner's threshold law in the limit of zer
o kinetic energy. The corresponding rate coefficients exhibit minima b
efore attaining constant values below 10(-3) K. The rate coefficients
increase by 3 orders of magnitude when the initial vibrational level o
f the molecule is raised from v = 1 to v = 10. The results suggest tha
t quasibound resonance states of (HeH2)-He-3 and (HeH2)-He-4 exist, as
sociated with each excited vibrational state of H-2, and that both the
triatomic species (HeH2)-He-3 and (HeH2)-He-4 have one bound vibratio
nal state.