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ENERGY DEPENDENCE OF ${{\mathit K}^{\pm}}$ DALITZ PLOT

$\vert $matrix element$\vert ^2$ = 1 + $\mathit g{}\mathit u$ + $\mathit h{}\mathit u{}^{2}$ + $\mathit k{}\mathit v{}^{2}$ where $\mathit u$ = ($\mathit s_{3}$ $−$ $\mathit s_{0}$) $/$ ${{\mathit m}^{2}}_{{{\mathit \pi}}}$ and $\mathit v$ = ($\mathit s_{2}$ $−$ $\mathit s_{1}$) $/$ ${{\mathit m}^{2}}_{{{\mathit \pi}}}$

QUADRATIC COEFFICIENT $\mathit h$ FOR ${{\mathit K}^{\pm}}$ $\rightarrow$ ${{\mathit \pi}^{\pm}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$

INSPIRE   PDGID:

S010HTP

VALUE EVTS DOCUMENT ID TECN CHG  COMMENT $\bf{ 0.052 \pm0.008}$ OUR AVERAGE $0.0551$ $\pm0.0044$ $\pm0.0086$ 493k AKOPDZHANOV 2005 B TNF $\pm{}$ $0.046$ $\pm0.004$ $\pm0.012$ 252k 1 AJINENKO 2003 B ISTR - • • We do not use the following data for averages, fits, limits, etc. • • $0.128$ $\pm0.015$ $\pm0.024$ 33k BATUSOV 1998 SPEC + $0.037$ $\pm0.024$ 43k BOLOTOV 1986 CALO - $0.152$ $\pm0.082$ 3263 BRAUN 1976 B HLBC + $0.041$ $\pm0.030$ 5635 SHEAFF 1975 HLBC + $0.009$ $\pm0.040$ 27k SMITH 1975 WIRE + $-0.01$ $\pm0.08$ 1365 AUBERT 1972 HLBC + $0.026$ $\pm0.050$ 4048 DAVISON 1969 HLBC + Also emulsion 1  Measured using in-flight decays of the 25 GeV negative secondary beam.

References:

AKOPDZHANOV 2005B JETPL 82 675 Measurements of the Dalitz Plot Parameters for ${{\mathit K}^{\pm}}$ $\rightarrow$ ${{\mathit \pi}^{\pm}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ Decays AJINENKO 2003B PL B567 159 Measurement of the Dalitz Plot Slope Parameters for ${{\mathit K}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \pi}^{-}}$ Decay using ISTRA+ Detector BATUSOV 1998 NP B516 3 Measurement of Dalitz Plot Slope Parameters for ${{\mathit K}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ Decay BOLOTOV 1986 SJNP 44 73 Investigation of ${{\mathit K}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ Decay BRAUN 1976B LNC 17 521 An Experimental Determination of the Parameters Describing the ${{\mathit K}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ Decay Matrix Element SHEAFF 1975 PR D12 2570 Experimental Study of the Energy Spectrum of the ${{\mathit \pi}^{+}}$ in ${{\mathit K}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ Decay SMITH 1975 NP B91 45 An Experimental Investigation of the Decays ${{\mathit K}^{\pm}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \pi}^{\pm}}$ . The Slope Parameter and its Charge Asymmetry AUBERT 1972 NC 12A 509 Experimental Study of the Matrix Element in the ${{\mathit K}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ Decay DAVISON 1969 PR 180 1333 Energy Spectrum of the ${{\mathit \pi}^{+}}$ in ${{\mathit K}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$

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