We show that a reasonable generalization of the beta-function formula to the reaction $\pi +A\to B+C$, combined with Adler's self-consistency condition, implies that trajectories of opposite "normality" that can be connected by pion emission must have the same slope, and that their intercepts must differ by a half-odd integer. The agreement with experiment seems very good.

Including Regge-cut amplitudes in finite-energy sum rules for inelastic scattering we examine the possibilities that either (a) they are built up by part of the direct-channel resonance contributions, in which case they can significantly alter some of the bootstrap predictions, or (b) they are built up by a nonresonant background, in which case mesons with $Y=2\mathrm{}$ are required that couple to the $\mathrm{KK}$ system.

The electron-spin polarization and differential cross section of electrons scattered on gaseous targets have been calculated using three different scattering potentials. The calculations were carried through for electrons with 340-eV incident energy scattered on Hg. The results show that the spin polarization changes very little when the potentials are varied. The differential cross section, however, changed considerably and is therefore of more basic significance than the spin polarization when atomic systems are investigated.

A new type of stimulated light scattering has been observed in a variety of absorbing liquids and in some glasses. The scattering is due to refractive-index changes brought about by optically induced temperature waves rather than by density waves as in previously reported thermal-scattering effects.

Subject to suitable restrictions, much of the data on confinement in stellarators are shown to fit a semiempirical formula, viz., $\tau \propto \frac{B{T}_e\mathcal{r}}{n_e}$.

The phonon-limited mobility of the negative ion in He II is calculated; the results are in excellent agreement with recent experiments of Schwarz and Stark.

Using techniques developed in the quantum theory of the laser, we show that the frequency of the radiation emitted from a superconducting tunnel junction may be pulled slightly from $\frac{2eV}{\hslash }$ and present a physical discussion and numerical estimate of the effect.

The attenuation of Alfvén waves in bismuth can be analyzed to show the detailed variation of the relaxation time with magnetic field. For the example presented, which has the magnetic field along the threefold axis, variations between 2.5×${10}^{-10\mathrm{}}$ and 6.0×${10}^{-10\mathrm{}}$ sec are found around an average value for $\tau$ of 4.3×${10}^{-10\mathrm{}}$ sec.

Some data showing the existence of electrophotoluminescence in alkali halides at room temperature are reported. The effect is studied for $h\nu >E_g$ in KCl(KI) and a model which relates it to variations of the absorption coefficient is proposed.

In an experiment at the Princeton-Pennsylvania Accelerator, the relative rate $\frac{{K_{e2\mathrm{}}}^{+}}{{K_{\mu 2}}^{+}}$ was measured to be (${1.8}_{-0.6\mathrm{}}^{+0.8\mathrm{}}$) × ${10}^{-5\mathrm{}}$. Combining this with previous measurements gives a world average of (${1.9}_{-0.4\mathrm{}}^{+0.5\mathrm{}}$) × ${10}^{-5\mathrm{}}$, which agrees with the universal $V-A$ theory prediction of 2.09 × ${10}^{-5\mathrm{}}$.

We have used log-periodic, EW- and NS-arm antennas to investigate whether radio pulses from extensive air showers are polarized perpendicularly to the earth's magnetic field. Up to three such pairs of antennas were operated simultaneously, and 32 events with 84 radio pulses were observed. In the polarization part of the experiment, there were 23 pulses recorded in EW antennas versus 7 in NS, suggesting some geomagnetic production of radio pulses.

We generalize Veneziano's formula for the five-point function by writing an integral formula on a two-dimensional space and imposing on it the requirements implied by crossing symmetry, analyticity, and Regge behavior.

A highly peripheral $p{\pi }^{+}{\pi }^{-}$ enhancement centered near 1450 MeV, observed in $K^{+}p\to K^{+}{\pi }^{+}{\pi }^{-}p$ at 5.5 BeV/c, is shown to be consistent with a ${\Delta }^{++}{\pi }^{-}$ system with $I=\frac{1}{2}$. We observe a large asymmetry in the ${\Delta }^{++}{\pi }^{-}$ angular distribution which is not consistent with a pure resonant effect. Dissociation-type models fit the data reasonably well when cuts are made on the $K^{+}{\pi }^{-}$ mass, and this is interpreted as evidence for diffractive $K^{+}{\pi }^{-}$ virtual scattering in this $K^{+}{\pi }^{-}$ mass region.

We study broadening and the anomalously small shift of a $3.39-\mu$ rotation-vibration line of methane at millitorr pressures. Saturation by the laser intracavity field allows investigation of the very sharp natural linewidth, without Doppler broadening. Two lasers were independently locked to this transition with an offset of less than ±1 kHz, a reproducibility of ±1 × ${10}^{11}$.

In the reaction $\overline{p}p\left(n\right)\mathrm{}\to \overline{p}p{\pi }^{+}{\pi }^{-}\mathrm{}\left(n\right)\mathrm{}$ at 2.8 GeV/c, enhancements in the mass spectra of $\overline{p}{\pi }^{-}{\pi }^{+}$ and $p{\pi }^{-}{\pi }^{+}$ have been observed near 1400 MeV. Analysis indicates that these enhancements cannot be adequately explained as kinematic reflections of $N^{*}\mathrm{}\left(1238\right)\mathrm{}$ and/or ${\overline{N}}^{*}\mathrm{}\left(1238\right)\mathrm{}$ production.

A many-body approach for the calculation of time-dependent properties of atoms is developed and applied to helium atom. The refractive indices and excitation energies so obtained are in excellent agreement with experiment.

The submillimeter-wave rotational transition $N=1\mathrm{}\to 3$, $J=2\mathrm{}\to 2$ of oxygen has been measured at a frequency of 424 763.80 ± 0.20 Mc/sec. The millimeter-wave fine-structure frequencies for the $N=1\mathrm{}$ and $N=3\mathrm{}$ states have been remeasured with high precision. From the results the rotational constant of oxygen $B_0=43\mathrm{}100.589\pm 0.022$ Mc/sec has been derived.

We have observed electrons scattered superelastically from nitrogen molecules vibrationally excited by quenching collisions with optically excited rubidium atoms. Analysis of the energy gained by the electrons shows that in more than 10% of the quenching collisions the highest energetically allowed vibrational state of ${\mathrm{N}}_2$, $v=5\mathrm{}$, is populated. The relative superelastic cross section for collisions between molecules in this state and electrons is measured and compared with that predicted by detailed balance.

A cholesteric-nematic phase transition can be induced by relatively weak electric fields, and the threshold field varies inversely with the pitch of the helix in corroboration of recent theoretical suggestions. The phase change is accompanied by a change in the activation energy for charge-carrier production and can easily be observed by both conductivity measurements and direct optical examination.

Three values of the electron-phonon mass enhancement $\lambda$ for zinc and cadmium are compared: one obtained from the ratio of the electronic-specific-heat density of states and the band-structure value calculated from a pseudopotential approach, one calculated directly by means of the same pseudopotential, and one extracted by other authors from values of the superconducting transition temperature $T_c$ and the Debye temperature ⊖. For both metals the agreement between all three $\lambda$ values is very good, indicating the correctness and uniqueness of the pseudopotential. Calculations performed with other proposed pseudopotentials give very different values of $\lambda$.