  The DAMA Collaboration has recently analyzed its data of the extensive WIMP
direct search (DAMA/NaI) which detected an annual modulation, by taking into
account the channelling effect which occurs when an ion traverses a detector
with a crystalline structure. Among possible implications, this Collaboration
has considered the case of a coherent WIMP-nucleus interaction and then derived
the form of the annual modulation region in the plane of the WIMP-nucleon cross
section versus the WIMP mass, using a specific modelling for the channelling
effect. In the present paper we first show that light neutralinos fit the
annual modulation region also when channelling is taken into account. To
discuss the connection with indirect signals consisting in galactic antimatter,
in our analysis we pick up a specific galactic model, the cored
isothermal-sphere. In this scheme we determine the sets of supersymmetric
models selected by the annual modulation regions and then prove that these sets
are compatible with the available data on galactic antiprotons. We comment on
implications when other galactic distribution functions are employed. Finally,
we show that future measurements on galactic antiprotons and antideuterons will
be able to shed further light on the populations of light neutralinos singled
out by the annual modulation data.
