We show that the nonrelativistic quark model leads to an exceptionally simple sum rule involving a form factor determined by high-energy inelastic electron-proton scattering. The simplicity of this result appears to be a unique consequence of the peculiar quark charges.

The Mössbauer effect was observed for Coulomb-excited ${}_{}{}^{57}{}_{}{}^{}\mathrm{Fe}$ recoils implanted through vacuum into various media. This method avoids radiation damage of the host medium by the beam. Where comparison data are available, the results at room temperature indicate that within the nuclear lifetime of ${10}^{-7\mathrm{}}$ sec the recoils find a normal lattice site.

The Rys $F$ model of an antiferroelectric is solved by the transfer-matrix method. The result is different in many respects from the analogous Ising antiferromagnet, i.e., an infinite-order phase transition and a natural boundary in the complex $T$ plane. It can also be solved when an external electric field is included. Above the transition temperature the behavior is normal while below $T_c$ there is no polarization unless the electric field is sufficiently large.

We prove that the ground state of a system of $N$ fermions is orthogonal to the ground state in the presence of a finite range scattering potential, as $N\to \infty$. This implies that the response to application of such a potential involves only emission of excitations into the continuum, and that certain processes in Fermi gases may be blocked by orthogonality in a low-$T$, low-energy limit.

Certain far-infrared phonon absorption strengths provide a method for measuring long-range order. An application to the system ${\mathrm{K}}_2$Re${\mathrm{Cl}}_6$ is described. The results indicate that the phase transition occurring at 103.4°K conforms to an Ising model.

An electron-nuclear double-resonance study of the $H$ center produced by x rays in reagent-grade LiF shows the defect to be a ${\mathrm{F}}_2^{-}$ molecule located on a single lattice site but associated with a ${\mathrm{Na}}^{+}$ impurity. Attempts to produce isolated $H$ centers in high-purity LiF have been unsuccessful.

Volume contraction of a silicon crystal under intense illumination by laser light has been observed and an explanation of the phenomenon in terms of an electronic effect is proposed.

Measurements of the polarization of protons scattered from barium and cerium have been made to determine the total angular momenta, $J$, of isobaric analogs of states in ${}_{}{}^{139}{}_{}{}^{}\mathrm{Ba}$ and in ${}_{}{}^{141}{}_{}{}^{}\mathrm{Ce}$. The second $p$-wave state in each case has been found to have angular momentum ½ in contrast to previous assignments of $J=\frac{3}{2}$ to this level.

The sun's peculiar velocity with respect to distant galaxies is roughly estimated from the red-shift data for nearby galaxies to be ∼400 km/sec toward $l_{\mathrm{II}}\sim 335°$, $b_{\mathrm{II}}\sim 7°$. Future observations on the angular distribution of the cosmic microwave background should be able to test this estimate, if the background has a cosmological origin. If the test is successful it would imply that a "local" inertial frame is nonrotating with respect to distant matter to an accuracy of ${10}^{-3\mathrm{}}$ sec of arc per century, which would represent a 5000-fold increase of accuracy.

A superconvergence relation for $\pi \rho$ scattering is saturated for a range of $t$ with an infinite number of mesons of all spins and nondegenerate masses.

$K^{+}p$ inelastic final states in the region of the 1250-MeV/c Cool peak are examined for evidence of resonant behavior. The dominant $K{N}^{*}$ final state is found to be about equally divided between $P_{\frac{1}{2}}$ and $P_{\frac{3}{2}}$ final states, with no rapid phase variation between 960 and 1370 MeV/c.