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arXiv · hep-ex/0408098

Measurement of $K^+ \to π^0 π^0 e^+ ν$ ($K_{e4}^{00}$) decay using stopped positive kaons

S. Shimizu·K. Horie·M. Aliev·Y. Asano·T. Baker·P. Depommier·M. Hasinoff·Y. Igarashi·J. Imazato·A. P. Ivashkin·M. M. Khabibullin·A. N. Khotjantsev·Y. G. Kudenko·A. Levchenko·G. Y. Lim·J. A. Macdonald·O. V. Mineev·C. Rangacharyulu·S. Sawada
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Abstract

The $K^+ \to π^0 π^0 e^+ ν$ ($K_{e4}^{00}$) decay has been measured with stopped positive kaons for a data sample of 216 events. A comparison of the observed spectra with a Monte Carlo simulation determined the $K_{e4}^{00}$ form factor. The results are compatible with the $K^+ \to π^+ π^- e^+ ν$ data, as estimated from the $ΔI=1/2$ rule. We also established that the $K_{e4}^{00}$ channel can be used to determine the $π$-$π$ scattering lengths.

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S. Shimizu, K. Horie, M. Aliev, Y. Asano, T. Baker, P. Depommier, M. Hasinoff, Y. Igarashi, J. Imazato, A. P. Ivashkin, M. M. Khabibullin, A. N. Khotjantsev, Y. G. Kudenko, A. Levchenko, G. Y. Lim, J. A. Macdonald, O. V. Mineev, C. Rangacharyulu, S. Sawada. 2004-08-20. Measurement of $K^+ \to π^0 π^0 e^+ ν$ ($K_{e4}^{00}$) decay using stopped positive kaons. https://doi.org/10.1103/physrevd.70.037101

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