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

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

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

Authors

Description

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.
about 10 pages, 3figures