it has been recently suggested that stable, supersymmetric B-balls formed i
n the early universe could not only be the dark matter at the present epoch
, but also be responsible for baryogenesis by their partial evaporation at
high temperatures. We reinvestigate the efficiency of B-ball baryogenesis a
nd find it to be limited by the diffusion of baryon number away from the B-
balls. Successful baryogenesis may only occur for B-balls with charges Q le
ss than or similar to 10(20)-5 x 10(23), which is close to the observationa
l lower limits on the Q of a significant B-ball dark matter component. We a
lso present some cosmological constraints on the abundances of larger B-bal
ls in the early universe. (C) 2000 Elsevier Science B.V. All rights reserve
d.