It is shown that the infinite sequence of Regge cuts previously found in perturbation theory leads to high-energy behavior of scattering amplitudes with a power of the energy that is independent of the momentum transfer whenever the total cross sections are asymptotically constant.

It is shown how the subtractions, in a dispersive approach to SU(3) and SU(2) breaking, reproduce the results of the tadpole model, under the assumption of certain widely used forms for the medium-strong interaction.

A theoretical expression for the form factor $f_{-}\mathrm{}\left(t\right)\mathrm{}$ in $K_{l3\mathrm{}}$ decay is obtained from a sum rule based on the hadron weak-current commutation relations. The "leakage" matrix elements are found to make an important contribution to $f_{-}\mathrm{}\left(t\right)\mathrm{}$.

Total differential cross-section sum rules for forward neutrino (antineutrino) scattering by nuclei are derived using the weak charge commutation relations conjectured by Gell-Mann on the basis of the quark model, and the closure approximation. These sum rules can now be tested with neutrino (antineutrino) beams available at Brookhaven National Laboratory and CERN.

Measurements of the ultrasonic attenuation and velocity near the magnetic critical point in the cubic Heisenberg antiferromagnet RbMn${\mathrm{F}}_3$ have been performed over a wide range of frequencies. The ultrasonic attenuation coefficient $\alpha$ is divergent at $T_c$ and obeys the law $\alpha \propto {\omega }^2{(T-T_c)}^{-0.32\mathrm{}\pm 0.02}$ for two decades of reduced temperature $\frac{T}{T_c}-1\mathrm{}$.

A high-energy photon emission from Ge is observed at a photon energy of about $2E_g$. It is concluded from dependence on energy, temperature, and carrier density that a hole is brought into the split-off valence band by indirect band-to-band Auger transition. Here the hole "thermalizes" and is able to recombine with an electron in the conduction band, emitting a photon.

A $\beta =1\mathrm{}$ theta pinch which, according to Haas and Wesson, would be stabilized by a traveling wave is shown to be unstable. The plasma is described by the incompressible fluid model. It is shown that most of the modes, $m\gtrsim 1.75{\delta }^{-1\mathrm{}}$, are unstable where $\delta$ is the ratio of the amplitude of the radius modulation to the mean radius of the pinch.

Torque measurements on Type-II superconducting foils in nearly parallel applied magnetic fields $H$ indicate that the torque above $H_{c2\mathrm{}}$ can provide a direct measure of the magnetization. From the results above $H_{c2\mathrm{}}$ we deduce two magnetizations, $M_b$ associated with the bulk sample, and $M_s$ associated only with the superconducting sheath. The measurements indicate that $M_s$ is irreversible with $H$, contrary to prediction, and that the sheath itself behaves as if it is multiply connected.

It is proved that the spin of the ground state of a magnetic atom having exchange interaction with a nonmagnetic host metal is $s\mp \frac{1}{2}$, where $s=\mathrm{spin}\mathrm{of}\mathrm{noninteracting}\mathrm{magnetic}\mathrm{atom}$, the upper sign is appropriate to antiferromagnetic coupling, and the lower, to ferromagnetic coupling. This result is generalized to any number of conduction bands and to nonpointlike impurities, provided that the exchange interactions with the number of conduction bands, or with the various partial waves, are all of the same sign. For $p$ such bands or partial waves, the result is that the ground-state $\mathrm{spin}=|s\mp \frac{1}{2}p|$.

It is argued that the pure bootstrap idea may be physically incompatible with the closure property of conventional quantum theory; a physical meaning for locality would then be precluded in a bootstrap regime.