  We consider the evolution of $N$ bosons interacting with a repulsive short
range pair potential in three dimensions. The potential is scaled according to
the Gross-Pitaevskii scaling, i.e. it is given by $N^2V(N(x_i-x_j))$. We
monitor the behavior of the solution to the $N$-particle Schr\"odinger equation
in a spatial window where two particles are close to each other. We prove that
within this window a short scale interparticle structure emerges dynamically.
The local correlation between the particles is given by the two-body zero
energy scattering mode. This is the characteristic structure that was expected
to form within a very short initial time layer and to persist for all later
times, on the basis of the validity of the Gross-Pitaevskii equation for the
evolution of the Bose-Einstein condensate. The zero energy scattering mode
emerges after an initial time layer where all higher energy modes disperse out
of the spatial window. We can prove the persistence of this structure up to
sufficiently small times before three-particle correlations could develop.
