Searching a systematics for nonfactorizable contributions to hadronic decays of $D^0$ and $D^{+}$ mesons

Abstract

We investigate nonfactorizable contributions to charm meson decays in $D\to \bar{K}\pi$/ $\bar{K}\rho$ /${\bar{K}}^{\ast }\pi$ / $\bar{K}{a}_1$ / ${\bar{K}}^{\ast }\rho$ modes. Obtaining the contributions from spectator-quark diagrams for $N_c$ = 3, we determine nonfactorizable isospin 1/2 and 3/2 amplitudes required to explain the data for these modes. We observe that ratio of these amplitudes seem to follow a universal value.

23 pages, Latex