  It is usually assumed that the order H^2 corrections to the SUSY-breaking
mass squared terms in the early Universe must be negative in order to allow the
Affleck-Dine mechanism to work. We reconsider this assumption in the context of
D-term inflation models for the case where the mass squared term has a
correction cH^2 with c>0. We show that, in general, the baryon asymmetry is
likely to be too small if c > 9/16. However, for c as large as 0.5 the observed
baryon asymmetry can be readily generated; in particular, for d=6 directions
the observed asymmetry can be produced for a wide range of reheating
temperatures, in contrast with the case of negative H^2 corrections which
require a reheating temperature around 1 GeV. Thus positive H^2 corrections do
not rule out the Affleck-Dine mechanism and can even greatly broaden its
applicability to inflation models.
