Final-state phases in doubly Cabibbo-suppressed charmed meson nonleptonic decays

Cabibbo-favored nonleptonic charmed particle decays exhibit large final-state phase differences in $\overline{K}\pi$ and $K^{*}\pi$ but not $\overline{K}\rho$ channels. It is of interest to know the corresponding pattern of final-state phases in doubly Cabibbo-suppressed decays, governed by the $\overrightarrow{c}\mathrm{du}\overline{s}$ subprocess. An experimental program is outlined for determining such phases via measurements of rates for $\overrightarrow{D}{K}^{*}\pi$ and $K(\rho ,\omega ,\phi )$ channels and for determinaing the interference between bands in Dalitz plots. Such a program is feasible at planned high-intensity sources of charmed particles.