  Massive particles with self interactions of the order of 0.2 barn/GeV are
intriguing Dark Matter candidates from an astrophysical point of view. Current
and past experiments for direct detection of massive Dark Matter particles are
focusing to relatively low cross sections with ordinary matter, however they
cannot rule out very large cross sections, $\sigma/M > 0.01$ barn/GeV, due to
atmosphere and material shielding. Cosmology places a strong indirect limit for
the presence of large interactions among Dark Matter and baryons in the
Universe, however such a limit cannot rule out the existence of a small
sub-dominant component of Dark Matter with non negligible interactions with
ordinary matter in our galactic halo. Here, the possibility of the existence of
bound states with ordinary matter, for a similar Dark Matter candidate with not
negligible interactions, is considered. The existence of bound states, with
binding energy larger than $\sim$1 meV, would offer the possibility to test in
laboratory capture cross sections of the order of a barn (or larger). The
signature of the detection for a mass increasing of cryogenic samples, due to
the possible particle accumulation, would allow the investigation of these Dark
Matter candidates with mass up to the GUT scale. A proof of concept for a
possible detection set-up and the evaluation of some noise sources are
described.
