In recent experiments on Na Bose-Einstein condensates [S. Inouye et al., Na
ture 392, 151 (1998); J. Stenger et al., Phys. Rev. Lett. 82, 2422 (1999)],
large loss rates were observed when a time-varying magnetic field was used
to tune a molecular Feshbach resonance state near the state of atom pairs
that belong to the condensate many-body wave function. A mechanism is offer
ed here to account for the observed losses. It is based on the deactivation
of the resonant molecular state by interaction with a third condensate ato
m, with a deactivation rate coefficient of magnitude similar to 10(-10) cm(
3)/s. [S1050-2947(99)50508-8].