${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ COHERENCE FACTOR $\mathit R_{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$

INSPIRE   JSON  (beta) PDGID:
S032CF1
See the note on `${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing' for the definition. $\mathit R_{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$ can have any value between 0 and 1. A value near 1 indicates the decay is dominated by a few intermediate states with limited interference.
VALUE EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.792 \pm0.033}$ OUR AVERAGE
$0.78$ $\pm0.04$ 62.4k 1
ABLIKIM
2021AA
BES3 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at ${{\mathit \psi}{(3770)}}$
$0.82$ $\pm0.06$ 1, 2, 3
EVANS
2016
${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at ${{\mathit \psi}{(3770)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$0.82$ $\pm0.07$ 1, 3
LIBBY
2014
Repl. by EVANS 2016
$0.78$ ${}^{+0.11}_{-0.25}$ 4
LOWREY
2009
CLEO Repl. by LIBBY 2014
1  Uses quantum correlations in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at the ${{\mathit \psi}{(3770)}}$, where the decay rates of $\mathit CP$-tagged ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ final states depend on $\mathit R_{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$ and $\delta {}^{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$.
2  A combined fit with a recent LHCb ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ mixing results in AAIJ 2016F is also reported to be $0.81$ $\pm0.06$.
3  Obtained by analyzing CLEO-c data but not authored by the CLEO Collaboration.
4  LOWREY 2009 uses quantum correlations in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at the ${{\mathit \psi}{(3770)}}$, where the decay rates of $\mathit CP$-tagged ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ final states depend on $\mathit R_{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$ and $\delta {}^{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$. A fit that includes external measurements of charm mixing parameters gets $\mathit R_{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$ = $0.84$ $\pm0.07$.
References