  We argue that relatively compact charmonium states, $J/\psi$, $\psi(2S)$,
$\chi_c$, can very likely be bound inside light hadronic matter, in particular
inside higher resonances made from light quarks and/or gluons. The charmonium
state in such binding essentially retains its properties, so that the bound
system decays into light mesons and the particular charmonium resonance. Thus
such bound states of a new type, which we call hadro-charmonium, may explain
the properties of some of the recently observed resonant peaks, in particular
of Y(4.26), Y(4.32-4.36), Y(4.66), and Z(4.43). We discuss further possible
implications of the suggested picture for the observed states and existence of
other states of hadro-charmonium and hadro-bottomonium.
