Available data for the reaction $K^{-}+p\to {Y_1}^{*}\mathrm{}\left(1765\right)\mathrm{}\to {Y_0}^{*}\mathrm{}\left(1520\right)+\pi$ are studied to obtain rates for ${Y_0}^{*}\mathrm{}\left(1520\right)\mathrm{}$ decaying into $\overline{K}N$, $\Sigma \pi$, and $\Lambda \pi \pi$ channels. The weighted average of all determinations of the ratio of squares of the reduced matrix elements for $\Sigma \pi$ and $N\overline{K}$ modes is found to have a value incompatible with the assumption that ${Y_0}^{*}\mathrm{}\left(1520\right)\mathrm{}$ is a pure SU(3) singlet. Therefore, either ${Y_0}^{*}\mathrm{}\left(1520\right)\mathrm{}$ is likely to be mixed with a ${\frac{3}{2}}^{-}$ octet or unbroken SU(3) branching ratio predictions are unreliable or difficult to compare with experiment.

A model based on ladder diagrams in a $\lambda {\varphi }^3$ theory is used to study the first daughter trajectory in the scattering of unequal-mass particles. It is found that the daughter pole moves towards the physical region less rapidly than the leading pole, and develops a smaller imaginary part at the two-particle threshold. The motion of the daughter pole is determined primarily by three-particle scattering processes. As a consequence, a model which fails to treat three-particle scattering accurately cannot give a detailed picture of the motion.

It is deduced using a very general and simple approach that the differential cross-section minimum near the forward direction and secondary diffraction peak in ${\pi }^{-}p$ elastic scattering in the region from 1.7 to 2.5 BeV/c are resonance phenomena. Experiments of simple interpretation are proposed to determine if this is the general nature of the dip-secondary-peak sequence observed in various reactions.

The thermal conductivity $\kappa$ of pure ${\mathrm{He}}^3$ and of two dilute solutions of ${\mathrm{He}}^3$ in ${\mathrm{He}}^4$ has been measured from 30 down to 5 mdeg K or below. For pure ${\mathrm{He}}^3$, $\kappa T$ increases with increasing temperature. For the dilute solutions at low enough temperatures, $\kappa$ is consistent with the $T^{-1\mathrm{}}$ temperature dependence of a normal Fermi liquid, but the magnitudes of $\kappa T$ do not agree with values computed from an effective potential based on spin-diffusion coefficient measurements.

Paramagnetic resonance has been observed in an excited ${\Gamma }_5$ triplet state 222°K above the singlet ${\Gamma }_1$ ground state of ${\mathrm{Tm}}^{3+}$ ($4f^{12}$) in TmN (NaCl structure). Much of the observed behavior is understood with exchange small compared with crystal-field effects; however, there is an anomalous minimum in the temperature variation of the resonant $g$.

We derive a simple expression for the diagonal coherent-state representation of quantum operators, and discuss some of its applications.

We have evaluated in closed form the scalar form factors in an irreducible representation of the noncompact group O(3, 1) containing antiparticles. In particular, we have calculated the decay of baryon resonances into the ground state and compared it with experiment.

Using the algebra of currents and the sum rules recently derived by Weinberg, we calculate the electromagnetic mass difference of pions and obtaim $m_{{\pi }^{+}}-m_{{\pi }^0}\simeq 5.0$ MeV.

We discuss the convergence and the superconvergence properties of the invariant amplitudes which occur in suitable combinations of the propagator functions of the vector and the axial-vector currents, based on the use of symmetry arguments for the asymptotic behavior. The sum rules so obtained for the spectral functions are in good agreement with experiment.