  We address the problem of solution of the QCD three-particle evolution
equations which govern the Q-dependence of the chiral-even quark-gluon-quark
and three-gluon correlators contributing to a number of asymmetries at leading
order and the transversely polarized structure function g_2(x). The
quark-gluon-quark case is completely integrable in multicolour limit and
corresponds to a spin chain with non-periodic boundary conditions, while the
pure gluonic sector contains, apart from a piece in the Hamiltonian equivalent
to XXX Heisenberg magnet of spin s = - 3/2, a non-integrable addendum which can
be treated perturbatively for a bulk of the spectrum except for a few lowest
energy levels. We construct a quasiclassical expansion with respect to the
total conformal spin of the system and describe fairly well the energy spectra
of quark-gluon-quark and three-gluon systems.
