The ${Y_1}^{*}\mathrm{}\left(1765\right)\mathrm{}$ ${\frac{5}{2}}^{-}$ resonance exhibits ratios of meson-baryon (8 × 8) decay widths to meson-baryon resonance (8 × 10) decay widths such as to indicate that it can be classified in the 1134 product representation of SU(6). A comparison of the decay modes of the ${Y_0}^{*}\mathrm{}\left(1520\right)\mathrm{}$ with those of the ${Y_1}^{*}\mathrm{}\left(1765\right)\mathrm{}$ shows that it, too, may be classified in the 1134.

A spark-chamber experiment has been performed which measures the ratio $R=\frac{({K_L}^0\to {\pi }^{+}+e^{-}+\overline{\nu })}{({K_L}^0\to {\pi }^{-}+e^{+}+\nu )}$. On the basis of 1539 identified ${K_{e3\mathrm{}}}^0$ decays, no variation of $R$ is found over the Dalitz plot. The corrected integrated value is $R=0.93\mathrm{}\pm 0.05$.

Bounds on $\frac{f_{-}}{f_{+}}$ in $K_{l3\mathrm{}}$ decays are obtained under some general assumptions on the behavior of the divergence of the strangeness-changing vector current and the amplitude for $s$-wave $K\pi$ scattering, and its experimental implications are discussed.

Experimental and theoretical studies have been carried out on the effects of parallel and transverse magnetic fields on electric field-induced optical absorption (Franz-Keldysh effect) at photon energies below the direct gap in germanium.

The frequencies of the localized lattice-vibration modes due to $U$ centers in alkali halides have been computed when one of the nearest neighbors of ${\mathrm{H}}^{-}$ ion is replaced by an additional cation impurity. The results are in good agreement with the experimental values.

No evidence for a violation of time-reversal invariance has been found in a study of the inverse reactions ${\mathrm{Mg}}^{24}+d\rightleftarrows {\mathrm{Mg}}^{25}+p$, using 10-MeV deuterons and 15-MeV protons. Relative differential cross sections for the two reactions agree to within an experimental standard deviation of 0.4%. This is tentatively interpreted as implying that the ratio of the $T$-odd to $T$-even reaction amplitudes is probably less than 0.4%.

A spin-½ system described by a third rank multispinor has been examined. As a charged field, it describes a spin-½ system without intrinsic magnetic moment. The Lorentz invariance of the interacting system has been verified.

An analysis is given of about 1200 ${K_2}^{0}p$ interactions of the types ${\Lambda }^0{\pi }^{+}$, ${\Sigma }^0{\pi }^{+}$, and ${K_1}^{0}p$ at a mean ${K_2}^0$ momentum of 300 MeV/c. The relation between these reactions and the scattering lengths from $K^{+}$ and $K^{-}$ experiments is discussed, and a substantial $P$ wave is reported in the ${\Lambda }^0{\pi }^{+}$ reaction.

We have measured the polarization of the muon in the decay ${K_L}^0\to {\pi }^{-}+{\mu }^{+}+\nu$ using spark chambers. On the basis of 1458 events, the component of polarization transverse to the decay plane was found to be -0.05±0.18, which is consistent with zero, in agreement with time-reversal invariance.

The current commutation ${\mathrm{relations}}^1$ and partially conserved axial-vector current (PCAC) ${\mathrm{assumption}}^{2,3}$ allow the calculation of the matrix elements for emission and absorption of any number of soft ${\mathrm{pions}}^4$ and, therefore, in particular, determine the scattering length of a pion on any target particle. In this note we give a simple formula for pion scattering on any particle but a ${\mathrm{pion}}^5$, and then extend this result to the more difficult case of pion-pion scattering.