The Widom-Kadanoff scaling-law equation of state has been confirmed for a variety of gases in a range of ±50% of the critical density and within a few percent above and below the critical temperature. Using a new procedure motivated by the scaling law, the exponent $\delta$ describing the shape of the critical isotherm was found to be close to 5 while the compressibility exponents $\gamma$ and ${\gamma }^{\prime }$ were both found to be equal to about 1.4.

An instability near the harmonics of the electron gyrofrequency has been observed by the method of combination scattering. The instability has been stimulated by a strong external microwave signal propagating along the magnetic field near the cyclotron resonance.

The temperature dependence of the solute magnetic susceptibility of very dilute Cu-Fe alloys shows an anomaly at a temperature in the range 6-17°K. The effective Bohr-magneton value of the localized moment is appreciably reduced below this temperature. It is suggested that this anomaly can be interpreted as further evidence of the formation of a quasibound election state as suggested by Nagaoka.

Measurements of the magnetic inelastic neutron scattering from paramagnetic nickel at $1.6T_c$ give a good absolute fit to calculations for a simple free-electron gas with a random-phase approximation exchange-enhancement factor in the region of 3.

The fluorescence decay curves of Bergman, Levine, and Jortner are interpreted in terms of autoionization. It is shown that autoionization is always more important than collision ionization of excitons located on different sites.

A new experimental technique was used to measure Coulomb displacement energies $\Delta E_c$ in the Ca-Sc isobaric pairs with $A=44, 46, 48, \mathrm{and} 50$. The reaction ${\mathrm{Ca}}^{46}({\mathrm{He}}^3, d){\mathrm{Sc}}^{47}$ was used to measure this quantity for $A=47\mathrm{}$. This permits analysis of $\Delta E_c$ for all the isobaric pairs from $A=41\mathrm{} \mathrm{to} 50$, for the ground states and for several excited states, which yields a consistent picture.

We use the algebra of charges and their time derivatives, partially conserved axial-vector currents, and Regge high-energy behavior to derive sum rules for strong-interaction forward amplitudes. The saturation of all sum rules by a finite number of states is self-consistent and leads to relations among coupling constants and masses. Saturating all sum rules for $\pi -\rho$ scattering by $\pi$, $\omega$, and $A_1$, we predict $m_{A_1}=1100\mathrm{}$ MeV, $m_{\omega }=m_{\rho }$, ${\Gamma }_{A_1}=120\mathrm{}$ MeV, $g_{\omega \rho \pi }=21\mathrm{}$ Be${\mathrm{V}}^{-1\mathrm{}}$, in good agreement with experiment.

The recent Brookhaven Coulomb-interference measurements of $\alpha =\frac{\mathrm{Re}f}{\mathrm{Im}f}$ are analyzed in terms of forward $\pi -N$ dispersion relations. The results are consistent with a crossover of ${\sigma }^{\mathrm{}(-)\mathrm{}}=\frac{1}{2}({\sigma }_{-}-{\sigma }_{+})$ at high energies above 22 BeV. The $\rho$-trajectory model determined by charge-exchange experiments is compared with our analysis of the data between 8 and 20 BeV.

The reaction $K^{-}+p\to K^{-}+p+{\pi }^{-}+{\pi }^{+}$ near 5.0 BeV/c has been examined. In events of the type $K^{-}+p\to K^{*0\mathrm{}}\mathrm{}\left(890\right)+p+{\pi }^{-}$ one-pion exchange appears to explain the interaction. Analysis of the scattering angular distribution at the ${\pi }^{-}p$ vertex indicates that the $p$ and ${\pi }^{-}$ are produced as if scattering of the virtual exchanged pion is real. Similar analysis of events of the type $K^{-}+p\to N^{*++}\mathrm{}\left(1236\right)+K^{-}+{\pi }^{-}$, with the assumption of real scattering between the $K^{-}$ and ${\pi }^{-}$, yields information on the elastic differential, total elastic, and total cross sections of $K^{-}{\pi }^{-}$ scattering.

The possible nonadditive character of quark amplitudes and the resulting additional contributions to total cross sections are investigated. A sum rule is derived and it is suggested that the nonadditive contributions to some cross sections may be dominant.

The sample of 51 high-information $\Sigma p$ events has a mean rotation of 32° per event and gives no evidence of bias; it yields ${\mu }_{{\Sigma }^{+}}=+3.0\mathrm{}\pm 1.2{\mu }_N$ and $\alpha \overline{P}=+0.85\mathrm{}\pm 0.25$ in the direction ${\hat{P}}_{\gamma }\times {\hat{P}}_{\Sigma }$. All magnetic field components along the path of each ${\Sigma }^{+}$ have been considered. The use of nuclear emulsion enables one to include the effects of the $\Sigma p$ c.m. angle on detection efficiency, and thereby on the calculated value of ${\mu }_{{\Sigma }^{+}}$.

A sample of 52 $\Sigma p$ decays satisfying hydrogen-like production kinematics yields ${\mu }_{{\Sigma }^{+}}=+3.5\mathrm{}\pm 1.5{\mu }_N$ and $\alpha \overline{P}=-0.69\mathrm{}\pm 0.15$ relative to ${\hat{P}}_K\times {\hat{P}}_{\Sigma }$. The effect of all magnetic field components along the ${\Sigma }^{+}$ path has been included, as well as that of the c.m. decay angle on detection efficiency. The measurement of ${\mu }_{{\Sigma }^{+}}$ can be averaged with an earlier result to give ${\mu }_{{\Sigma }^{+}}=+3.2\mathrm{}\pm 0.9{\mu }_N$, consistent with the prediction by SU(3).