Combined analysis of the singly-Cabbibo-suppressed decays of $D^0\to VP$

Abstract

We investigate six singly Cabibbo-suppressed decay channels in $D^0\to VP$ ( $V$ and $P$ stand for the ground state vector and pseudoscalar mesons, respectively), i.e. $D^0\to {\rho }^{+}{\pi }^{-}$, ${\rho }^{-}{\pi }^{+}$, $K^{\ast +}{K}^{-}$, $K^{\ast -}{K}^{+}$, $K^{\ast 0}{\bar{K}}^0$, and ${\bar{K}}^{\ast 0}{K}^0$. These decay channels share the similar transition mechanisms involving only the direct emission (DE) and internal conversion (IC) processes. We show that a combined analysis of these channels can explicitly highlight the role played by the IC processes which contribute to the amplitudes at the same order of magnitude as the DE processes.

Comments: Revtex, 1 figure and 7 tables