Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-03-18
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, latex, 1 eps figure
Scientific paper
We consider the interference of resonant amplitudes leading to the final state $K_S \pi^+ \pi^-$ in $D^0/\bar {D^0}$ decays. Each of these amplitudes consists of both Cabibbo allowed and doubly Cabibbo suppressed transitions. The role of strong phase arising out of Breit-Wigner resonant propagators is emphasised. Invoking the $\Delta S = \Delta Q$ rule, $K_S$ in the final state is identified as the mass eigenstate of superposed weak eigenstates $K^0$ and $\bar K^0$. A nonzero CP asymmetry appears to be possible in three body decays.
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