Search for $D^{0} - {\bar{D}}^{0}$ mixing in the Dalitz plot analysis of $D^{0} \to K_{S}^{0} π^{+} π^{-}$

The resonant substructure in

D^{0} \to K_{S}^{0} π^{+} π^{-}

decays is described by a combination of ten quasi two-body intermediate states which include both

C P

-even and

C P

-odd eigenstates and one doubly Cabibbo suppressed channel. We present a formalism that connects the variation in

D^{0}

decay time over the Dalitz plot with the mixing parameters,

x

and

y

, that describe off-shell and on-shell

D^{0} - {\bar{D}}^{0}

mixing. We analyze the CLEO II.V data sample and find the parameters

x

and

y

are consistent with zero. We limit

(- 4.5 < x < 9.3) %

and

(- 6.4 < y < 3.6) %

at the 95% confidence level.

This publication has 32 references indexed in Scilit:

Search forD0−D¯0mixing in the Dalitz plot analysis ofD0→KS0π+π−