The CP parameters epsilon and epsilon'/epsilon are calculated in the aspen
model of spontaneous CP violation, a model which solves the strong CP probl
em. A new range for the scale of spontaneous breaking of CP is found. It is
shown that epsilon'/epsilon is suppressed by similar to x(2)v(2)/(kappa(2)
sin(5) theta(C))similar to 5x10(-3) relative to the standard model. If exp
eriment finds that epsilon'/epsilon is 10(-4) or greater in magnitude, it w
ill mean that the present approach to spontaneous CP violation is excluded.
[S0556-2821(99)01401-0].