  In a recent work, Fleischmann and Mueller (2004) showed the existence of a
super-Brownian motion in R^d, d=2,3, with extra birth at the origin. Their
construction made use of an analytical approach based on the fundamental
solution of the heat equation with a one point potential worked out by
Albeverio et al. (1995). The present note addresses two properties of this
measure-valued process in the three-dimensional case, namely the scaling of the
process and the large scale behavior of its mean.
