Further Analysis of Form Factors inKμ3+Decay

The data from the experimental study of the ${K_{\mu 3}}^{+}$ and ${K_{e3\mathrm{}}}^{+}$ decay modes in the 12-in.xenon bubble chamber have been reanalyzed without the assumption of time-reversal invariance. If a local, $V-A$ interaction is assumed, the matrix element for the ${K_{\mu 3}}^{+}$ decay is characterized by two form factors, $f_{+}$ and $f_{-}$. The ratio of these form factors $\xi =\frac{f_{-}}{f_{+}}$ must be real if the interaction is invariant under time reversal. The experimental distribution in two variables ($p_{\pi }$ and $p_{\mu }$) has been fitted to the theoretical distribution with the real and imaginary parts of $\xi$ as parameters. It is found that the imaginary part of $\xi$ is consistent with zero and is less than 2.4 with 90% confidence. A further test of nonlocality is also presented.