I believe the Stoics are looking for Eudaimonia, Ataraxia is much more Epicurean.I
I agree Charles, although I think what we're really saying is what words are associated with those schools today. Eusdaimonia definitely sounds Aristotelian today (as does "flourishing), and ataraxia is alleged to be Epicurean, but I perceived there's lots of crossover. And come to think of it I am not sure WHAT word is associated with Stoicism other than words maybe like glory that refer to their goal of virtue.