New Measurement of $K_{e 4}^{+}$ Decay and the $s$ -Wave $π π$ -Scattering Length $a_{0}^{0}$

Publisher Website

7 November 2001

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 87 (22) , 221801
https://doi.org/10.1103/physrevlett.87.221801

Abstract

A sample of

4 \times 10^{5}

events from the decay

K^{+} \to π^{+} π^{-} e^{+} ν_{e} (K_{e 4})

has been collected in experiment E865 at the Brookhaven Alternating Gradient Synchrotron. The analysis of these data yields new measurements of the

K_{e 4}

branching ratio

[(4.11 \pm 0.01 \pm 0.11) \times 10^{- 5}]

, the

s

-wave

π π

scattering length

[a_{0}^{0} = 0.216 \pm 0.013 (stat) \pm 0.004 (syst) \pm 0.005 (theor)]

, and the form factors

F

,

G

, and

H

of the hadronic current and their dependence on the invariant

π π

mass.

Keywords

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Version 1, 2001-06-19, ArXiv (Unconfirmed version)

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