  Semiclassical theory of proximity effect predicts a gap E_g \sim hD/L^2 in
the excitation spectrum of a long diffusive SNS junction. Mesoscopic
fluctuations lead to anomalously localized states in the normal part of the
junction. As a result, a non-zero, yet exponentially small, density of states
appears at energies below E_g. In the framework of the supermatrix nonlinear
sigma-model these prelocalized states are due to instanton configurations with
broken supersymmetry. The exact result for the DOS near the semiclassical
threshold is found provided the dimensionless conductance of the normal part is
large. The case of poorly transparent interfaces between the normal and
superconductive regions is also considered. In this limit the total number of
the subgap states may be large.
