  The exclusive processes are considered, where a point-like source of heavy
quark-antiquark pairs $Q \bar Q$, e.g. their electromagnetic current, produces
a pair consisting of a heavy quarkoniumlike exotic meson (tetraquark) or baryon
(pentaquark) and a light meson or an antibaryon. For a sufficiently large mass
of the heavy quark $m_Q$ there is a range of the energy $E$ above the $Q \bar
Q$ threshold, where $E \ll m_Q$ and still the energy is large compared to the
strong interaction scale, $E \gg \Lambda_{QCD}$. It is shown that in this
energy range, where the heavy quarks are nonrelelativistic, a specific
`intermediate asymptotic' behavior sets in determined by the number $n$ of the
pairs of constituent quarks, with the rate scaling as $E^{1-n}$.
