Resonant Two-body D Decays

Abstract

The contribution of a $K^{\ast }(1430)$ $0^{+}$ resonance to $D^0\to K^{-}{\pi }^{+}$ is calculated by applying the soft pion theorem to $D^{+}\to K^{\ast }{\pi }^{+}$, and is found to be about 30% of the measured amplitude and to be larger than the $\Delta I=3/2$ component of this amplitude. We estimate a 70% contribution to the total amplitude from a higher $K^{\ast }(1950)$ resonance. This implies large deviations from factorization in D decay amplitudes, a lifetime difference between D^0 and D^+, and an enhancement of $D^0-{\bar{D}}^0$ mixing due to SU(3) breaking.

Comments: To be published in Physical Review Letters, some corrections, references updated