  The AMS experiment is shown to be sensitive to test the hypothesis on the
existence of antimatter globular cluster in our Galaxy. The hypothesis follows
from the analysis of possible tests for the mechanisms of baryosynthesis and
uses antimatter domains in the matter dominated Universe as the probe for the
physics underlying the origin of the matter. The interval of masses for the
antimatter in our Galaxy is fixed from below by the condition of antimatter
domain survival in the matter dominated Universe and from above by the observed
gamma ray flux. For this interval the expected fluxes of antihelium-3 and
antihelium-4 are calculated with the account for their interaction with the
matter in the Galaxy.
