CHARGE ASYMMETRY IN ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ DECAYS

These are $\mathit CP$-violating charge-asymmetry parameters, defined at beginning of section “LINEAR COEFFICIENT $\mathit g$ FOR ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ above. See also note on Dalitz plot parameters in ${{\mathit K}^{\pm}}$ section and note on “$\mathit CP$ violation in ${{\mathit K}_{{L}}}$ decays” above.

LINEAR COEFFICIENT $\mathit j$ FOR ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$

INSPIRE   PDGID:
S013JT0
VALUE EVTS DOCUMENT ID TECN
$\bf{ 0.0012 \pm0.0008}$ OUR AVERAGE
$0.0010$ $\pm0.0024$ $\pm0.0030$ 500k
ANGELOPOULOS
1998C
CPLR
$-0.001$ $\pm0.011$ 6499
CHO
1977
$0.001$ $\pm0.003$ 4709
PEACH
1977
$0.0013$ $\pm0.0009$ 3M
SCRIBANO
1970
$0.0$ $\pm0.017$ 4400
SMITH
1970
OSPK
$0.001$ $\pm0.004$ 238k
BLANPIED
1968
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
ANGELOPOULOS 1998C
EPJ C5 389 The Neutral Kaon Decays to ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$: a Detailed Analysis of the CPLEAR Data
CHO 1977
PR D15 587 A Measurement of ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ Decay Parameters
PEACH 1977
NP B127 399 A Study of the Dalitz Plot in the Decay ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$
SCRIBANO 1970
PL 32B 224 Charge Asymmetry in the Decay ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$
SMITH 1970
PL 32B 133 Experimental Study of the Decay Spectrum of ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$
BLANPIED 1968
PRL 21 1650 Search for a $\mathit CP$ Nonconserving Asymmetry in the Decay ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$