  The dimensional scaling of the differential cross sections of binary
reactions $d\sigma/d t\sim s^{-(n-2)}$, where $n$ is given by constituent quark
counting rules, was predicted for asymptotically high energies $\sqrt{s}\gg
m_i$ and transferred momenta $-t\gg m_i^2$ at $t/s=const$ (here $s$ and $t$ are
the Mandelstam variables and $m_i$ denotes a hadron mass), but manifested
itself at surprisingly moderate energies of few GeV at large fixed cms angles
$\theta_{cm}\sim 90^\circ$. This behaviour is observed not only in reactions
with free hadrons, but with the deuteron and $^3He$ too both for
electromagnetic and pure hadronic interactions. One may suppose that observed
scaling points out to effective restoration of near-conformal and, probably,
chiral symmetry in these processes. A systematical experimental study of the
scaling behaviour of the reactions with the deuteron, $^3H$, $^3He$, and $^4He$
nuclei is still absent. We consider a possibility to carry out this study in
$dd$ collisions at the JINR Nuclotron.
