Measurement of theKμ30Ke30Branching Ratio, theKl30Form Factors, and theKπ30Decay Parameters

In a hydrogen bubble-chamber experiment with a

K_{L}

beam we have measured the

\frac{K_{μ 3}^{0}}{K_{e 3}^{0}}

branching ratio to be

R = 0.741 \pm 0.044

and the slope of the

f_{+}

form factor to be

λ_{+} = 0.019 \pm 0.013

. The data have been analyzed with a new variable,

{(p_{T}^{'})}^{2}

, which isolates a sample of unique

K_{e 3}

decays and is independent of the

K_{L}

beam momentum. These results are compatible with the predictions of

K^{*}

dominance for

f_{+}

and the Callan-Treiman relation for

f_{0}

, but indicate a breaking of the

Δ I = \frac{1}{2}

rule. We have also determined the

\frac{(K_{L} \to π^{+} π^{-} π^{0})}{(all charged K_{L} decays)}

branching ratio to be

R_{π} = 0.146 \pm 0.004

, and have found the

E_{π^{0}}^{*}

slope of the

K_{π 3}

Dalitz plot to be given by

g = 0.73 \pm 0.04

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