Studies of the low-temperature resistivity of single crystals of pure Zn and pure Zn doped with a small quantity of Mn (64 ppm) indicate that the anisotropy of the band structure is not sufficient to explain the observed anisotropy in the Kondo effect occurring in the Zn-Mn system, and that a small anisotropy in the $s-d$ exchange constant is required.

It is shown that the general features of the magnetic order in superconducting dilute rare-earth alloys can be obtained from the behavior of the upper critical magnetic field $H_{c2\mathrm{}}(c, T)$.

The effects of the short-range correlations on the form factor of elastic electron scattering have been calculated in the Born approximation for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ as an example. It turns out that in the high-momentum-transfer region it is essential to take into account the modifications of the nucleonic wave function for small internucleonic distances; the results indicate that from precise measurements details about the momentum exchange between bound nucleons can be deduced.

The $A_1$ function of the McIntyre model was modified to fit the measured differential cross section of the elastic scattering ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$ on ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ at $E_{\mathrm{lab}}=22.5\mathrm{}$ MeV, which shows extensive structure for large c.m.-system angles. The modified $A_1$ function is a Woods-Saxon type function with a sharp drop for a certain $l$ value. This drop simulates a great number of surface reactions, which diminish the elastic channel in the case of grazing collision.

A nonrelativistic three-body treatment in the Born approximation is used for the final-state nucleon-nucleon scattering in the field of the residual nucleus, following the absorption of a bound pion in ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ and ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$. It is shown that the $\mathrm{NN}$ energy distributions represent a very sensitive probe of the nuclear two-body force and of the stronger optical potential which serves to descibe multiple-scattering effects.

The ratio of the electric-quadrupole interaction frequencies between the $3^{+}$ 1174-keV state and the 79-keV $2^{+}$ state has been measured using time-differential perturbed angular correlation techniques. The measured ratio $\frac{{\omega }_0\mathrm{}\left(1174\right)\mathrm{}}{{\omega }_0\mathrm{}\left(79\right)\mathrm{}}=0.53\mathrm{}\pm 0.06$ corresponds to a ratio of the static quadrupole moments of $\frac{Q\left(1171\right)\mathrm{}}{Q\left(79\right)\mathrm{}}=1.33\mathrm{}\pm 0.15$, which, combined with the value of $Q\left(79\right)\mathrm{}$ derived from Coulomb-excitation transition probabilities, yields a value of $Q\left(1174\right)=2.92\mathrm{}\pm 0.33$ b.

Mechanical oscillations of lead-zirconate-titanate piezoelectric disks have been observed when penetrating high-energy (1.0-BeV) beams of electrons impinge on the disks. Radial and compressional modes of vibration have been observed in the frequency range 40-158 kHz. Possible applications of this observation to particle detection at very high energies are discussed. The observed phenomenon also has a possible connection with measurements of gravitational waves.

Differential cross sections for ${\pi }^{+}p$ elastic scattering in the angular region $-0.6\mathrm{}\gtrsim {cos\theta }_{\mathrm{c}.\mathrm{m}.\mathrm{}}\gtrsim -0.98\mathrm{}$ are presented for 13 incident pion momenta from 2.18 to 5.0 BeV/c. The striking features of the data are a backward peak at all momenta and a dip in the cross section at $u\approx -0.17\mathrm{}$ for momenta between 2.75 and 5.0 BeV/c.

We have measured the differential cross section and polarization for the reaction ${\pi }^{+}+p\to K^{+}+{\Sigma }^{+}$ for $K$ laboratory angles between 3° and 17°. The reaction is dominated by a large forward peak which shrinks rapidly and decreases slowly in size with increasing energy. A break in this exponential occurs at $-t=0.4\mathrm{}$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$ beyond which the cross section falls much more slowly. The polarization is small for values of $-t$ less than 0.3 beyond which it becomes large and positive and remains positive to the largest angles measured. It is independent of energy within experimental errors.

The polarization parameter in $K^{+}-p$ elastic scattering has been measured at 3.75 and 4.40 GeV/c in the range of squared momentum transfer $0.2\lesssim -t\lesssim 1.0$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$. The data are compared with the predictions of recent Regge-pole models.

Measurements are reported of polarization in $K^{+}p$ elastic scattering at 1.37, 1.45, 1.71, and 1.89 GeV/c. A phase-shift analysis including these new data has been performed. Resonancelike behavior is observed in the $P_{\frac{3}{2}}$ partial-wave amplitude.

From approximately 550 ${\Sigma }^{-}$ electronic decays produced by stopping $K^{-}$ in liquid hydrogen we have selected a sample of 49 events in which the neutron from the ${\Sigma }^{-}$ leptonic decay is detected by a subsequent $n-p$ scatter. A maximum-likelihood analysis, including the effect of about 20% background, indicates that the magnitude of the ratio of the coupling constants is $\left|\frac{G_a}{G_V}\right|=0.23\mathrm{}\pm 0.16$, in excellent agreement with the prediction of the Cabibbo theory.

We present the most general forms for the trajectory and residue functions for daughter Regge poles which are consistent with analyticity and unitarity. Our results hold for arbitrary masses and spins of the external particles, all types of conspiracy, and general, nonparallel trajectories.

An explicit example of crossing-symmetric Regge-behaved amplitudes is constructed for nonlinear trajectories. The Regge behavior is proved for Re $t\to +\infty$, except on the real axis, as well as for Re $t\to -\infty$.

The mobility of ions in liquid ${\mathrm{He}}^3$ is investigated by a method which avoids the assumption that ions recoil freely in collisions with Fermi quasiparticles. The temperature variation of the mobility is found to be much less than that previously predicted, and improved agreement with experiment is obtained.

An exact solution of the Liouville equation for the $\mathrm{XY}$ model with time-dependent external magnetic fields is obtained. Standard transformations allow a decomposition of the space of states into a direct product of four-dimensional subspaces. The Liouville equation is reduced to a set of coupled differential equations in each subspace. These equations have been explicitly solved for several cases.

A minimum has been observed in the variation of the superconducting transition temperature of ${\mathrm{La}}_{3-\mathrm{x}}{\mathrm{Ce}}_{\mathrm{x}}$ In alloys with pressure. From this it is inferred that the pair-breaking parameter initially increases with pressure and then goes through a maximum associated with a transition of the Ce impurity from a magnetic to nonmagnetic state.

We have calculated the surface nucleation field as a function of the slope of the superconducting order parameter at the surface of a semi-infinite superconducting half-space. When the order parameter increases on approaching the surface, as would be the case in the presence of a surface region of enhanced transition temperature, nucleation fields larger than those expected for a uniform sample are predicted. Cold working the surface on an InBi foil produces this condition and qualitatively confirms the prediction.

Polarization effects due to inelastic scattering from magnons is shown to alter significantly the original polarization of photoemitted electrons from the conduction bands of Gd.

An intense, frequency-dependent absorption of ultrasound in antiferromagnetic RbMn${\mathrm{F}}_3$ has been observed and attributed to resonant phonon coupling to the ${\mathrm{Mn}}^{55}$ magnetic nuclei. The angular dependence at 4.3 K and the temperature dependence between 4.3 and 38 K of the absorption are reported.