Final-State Phases in Doubly-Cabibbo-Suppressed Charmed Meson Nonleptonic Decays

Abstract

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

Comments: 12 pages, LaTeX, 2 figures, to be submitted to Phys. Rev. D. Revised version