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 \rightarrow \bar K \pi $/ $ \bar K \rho$ /$ \bar K ^{*} \pi$ / $ \bar K a_{1}$ / $ \bar K ^{*} \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.