  We report results of molecular-dynamics simulations of a model polymer melt
consisting of short non-entangled chains in the supercooled state above the
critical temperature of mode-coupling theory (MCT). To analyse the dynamics of
the system we computed the incoherent, collective chain and melt intermediate
scattering functions as well as the Van Hove correlation functions. We find
good evidence for the space-time factorization theorem of MCT. From the
critical amplitudes we could derive typical length scales of the beta-dyamics.
In an extensive quantitative analysis the leading order description of MCT was
found to be accurate in the central beta-regime. Higher order corrections
extend the validity of the MCT approximation to a greater time window.
Indications of polymer specific effects on the length scale of the chain's
radius of gyration are visible in the beta-coefficients.
