The coefficient of self-diffusion for a homogeneously cooling granular gas
changes significantly if the impact-velocity dependence of the restitution
coefficient epsilon is taken into account. For the case of a constant epsil
on the particles spread logarithmically slowly with time, whereas a velocit
y-dependent coefficient yields a power law time dependence. The impact of t
he difference in these time dependences on the properties of a freely cooli
ng granular gas is discussed.