PARAMETERS FOR ${{\mathit K}_L^0}$ $\rightarrow$ 2 ${{\mathit \pi}}$ DECAY

$\eta _{+−}$ = A( ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) $/$ A( ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) $\eta _{00}$ = A( ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ ) $/$ A( ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ )
The fitted values of $\vert \eta _{+−}\vert $ and $\vert \eta _{00}\vert $ given below are the results of a fit to $\vert \eta _{+−}\vert $, $\vert \eta _{00}\vert $, $\vert \eta _{00}/\eta _{+−}\vert $, and Re($\epsilon {{}^\prime}/\epsilon $). Independent information on $\vert \eta _{+−}\vert $ and $\vert \eta _{00}\vert $ can be obtained from the fitted values of the ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ and ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ branching ratios and the ${{\mathit K}_L^0}$ and ${{\mathit K}_S^0}$ lifetimes. This information is included as data in the $\vert \eta _{+−}\vert $ and $\vert \eta _{00}\vert $ sections with a Document ID “BRFIT.” See the note “$\mathit CP$ violation in ${{\mathit K}_{{L}}}$ decays” above for details.

$\vert \eta _{00}\vert $ = $\vert $A( ${{\mathit K}_L^0}$ $\rightarrow$ 2 ${{\mathit \pi}^{0}}$ ) / A( ${{\mathit K}_S^0}$ $\rightarrow$ 2 ${{\mathit \pi}^{0}}$ )$\vert $

INSPIRE   PDGID:
S013E00
VALUE ($ 10^{-3} $) DOCUMENT ID TECN  COMMENT
$\bf{ 2.220 \pm0.011}$ OUR FIT  Error includes scale factor of 1.8.
$2.243$ $\pm0.014$
BRFIT
2016
• • We do not use the following data for averages, fits, limits, etc. • •
$2.47$ $\pm0.31$ $\pm0.24$
ANGELOPOULOS
1998
CPLR
$2.49$ $\pm0.40$ 1
ADLER
1996B
CPLR Sup. by ANGELOPOULOS 1998
$2.33$ $\pm0.18$
CHRISTENSON
1979
ASPK
$2.71$ $\pm0.37$ 2
WOLFF
1971
OSPK ${}^{}\mathrm {Cu}$ reg., 4${{\mathit \gamma}}$'s
$2.95$ $\pm0.63$ 2
CHOLLET
1970
OSPK ${}^{}\mathrm {Cu}$ reg., 4${{\mathit \gamma}}$'s
1  Error is statistical only.
2  CHOLLET 1970 gives $\vert \eta _{00}\vert $ = ($1.23$ $\pm0.24){\times }$(regeneration amplitude, 2 ${\mathrm {GeV/}}\mathit c$ ${}^{}\mathrm {Cu}$)/10000mb. WOLFF 1971 gives $\vert \eta _{00}\vert $ = ($1.13$ $\pm0.12){\times }$(regeneration amplitude, 2 ${\mathrm {GeV/}}\mathit c$ ${}^{}\mathrm {Cu}$)/10000mb. We compute both $\vert \eta _{00}\vert $ values for (regeneration amplitude, 2 ${\mathrm {GeV/}}\mathit c$ ${}^{}\mathrm {Cu}$) = $24$ $\pm2$mb. This regeneration amplitude results from averaging over FAISSNER 1969 , extrapolated using optical-model calculations of Bohm et al., Physics Letters 27B 594 (1968) and the data of BALATS 1971 . (From H. Faissner, private communication).
Conservation Laws:
$\mathit CP$ VIOLATION OBSERVED
References:
BRFIT 2016
RPP 2016 edition Review of Particle Physics 2016
ANGELOPOULOS 1998
PL B420 191 Measurement of the $\mathit CP$ Violation Parameter $\eta _{00}$ using Tagged ${{\overline{\mathit K}}^{0}}$ and ${{\mathit K}^{0}}$
ADLER 1996B
ZPHY C70 211 First Observation of a Particle Antiparticle Asymmetry in the Decay of Neutral Kaons into ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$
CHRISTENSON 1979
PRL 43 1209 Measurement of the Phase and Magnitude of $\eta _{00}$
WOLFF 1971
PL 36B 517 Further Results on the Interference between the ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ Decay of ${{\mathit K}_L^0}$ and ${{\mathit K}_S^0}$
CHOLLET 1970
PL 31B 658 Observation of the Interference between ${{\mathit K}_L^0}$ and ${{\mathit K}_S^0}$ in the ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ Decay Mode