We explore some possible mechanisms by which the heavy neutral cosmic parti
cles are accelerated to gain sufficiently high kinetic energies and cause o
bservable effects at detectors on the earth. Our results indicate that all
the known sources which are based on the established theories and observati
ons fail to give rise to very high energy with sizable flux intensity. If t
he heavy neutral particles of kinetic energies of GeV order indeed exist in
cosmic rays, there must be certain mechanisms beyond our present knowledge
of dark matter and universe evolution.