  Final state medium-induced gluon radiation in ultradense nuclear matter is
shown to favor large angle emission when compared to vacuum bremsstrahlung due
to the suppression of collinear gluons. In a simple model of momentum transfers
from the medium to the jet+gluon system the phase space distribution of
non-Abelian bremsstrahlung is examined to first order in opacity. Perturbative
expression for the contribution of the hadronic fragments from medium-induced
gluons to the back-to-back particle correlations is derived. It is found that
in the limit of large jet energy loss gluon radiation determines the yield and
angular distribution of $|\Delta \phi | \geq \frac{\pi}{2}$ di-hadrons to high
transverse momenta $p_{T_2}$ of the associated particles. Clear transition from
enhancement to suppression of the away-side di-hadron correlations is
established at moderate $p_{T_2}$ and its experimentally accessible features
are predicted versus the trigger particle momentum $p_{T_1}$. The measured
away-side correlation function is shown to be sensitive to the broad rapidity
distribution of di-jets and their vacuum and medium-induced acoplanarity.
