Abstract. The Dalitz-plot of the decay D 0 → π + π − π 0 measured by the BABAR collaboration shows the structure of a final state having quantum numbers I G J PC = 0 − 0 −− . An isospin analysis of this Dalitz-plot finds that the fraction of the I = 0 contribution is about 96%. This high I = 0 contribution is unexpected because the weak interaction violates the isospin.