  Statistical aspects of the dynamics of chaotic scattering in the classical
model of $\alpha$-cluster nuclei are studied. It is found that the dynamics
governed by hyperbolic instabilities which results in an exponential decay of
the survival probability evolves to a limiting energy distribution whose
density develops the Boltzmann form. The angular distribution of the
corresponding decay products shows symmetry with respect to $\pi/2$ angle. Time
estimated for the compound nucleus formation ranges within the order of
$10^{-21}$s.
