Using the eigenchannel reaction theory we performed coupled-channel calculations for ${\mathrm{Si}}^{28}$ and computed the differential cross section for ${\mathrm{Al}}^{27}(p, {\gamma }_0){\mathrm{Si}}^{28}$ over the energy range $6\mathrm{MeV}<E_p<16\mathrm{}\mathrm{MeV}$. The obtained angular distributions are nearly constant over the whole energy range and agree with the experiment in that they are almost isotropic. Thus, it seems that in this framework we can give a natural explanation for the peculiar behavior of the ${\mathrm{Al}}^{27}(p, {\gamma }_0){\mathrm{Si}}^{28}$ cross section.

The hypotheses of Khuri's theorem, which imply that asymptotes of Regge trajectories cannot be infinite, are studied. We show that the residue function $\beta \mathrm{}\left(s\right)\mathrm{}$ is expected to have an essential singularity at infinity and that $\alpha \mathrm{}\left(s\right)\mathrm{}$ may well have complex branchpoints, making Khuri's theorem consistent with infinite asymptotes.

It is shown that a parity-doubled (at $t=0\mathrm{}$), $I=1\mathrm{}$, odd-signature trajectory is favored by a simple dynamical mechanism. A set of experiments is described whereby one could settle decisively the question of which (if any) of the possible O(4) conspiracies at $t=0\mathrm{}$ is realized.

The spectral-function sum rules are given for a general Lie algebra, and then applied to the vector and axial-vector mesons coupled to the currents of SU(3) ⊗ SU(3).

We give a quantum-mechanical treatment for the eigenstates of electrons near saddle points of the energy bands in the presence of a constant magnetic field. We find that Landau-type levels exist depending on the orientation of the magnetic field. Correspondingly, we find peaks in the interband transition probabilities and discuss selection rules on the Landau quantum numbers. We show the behavior of the optical constants for a chosen direction of the magnetic field, and indicate experimental consequences.

Mössbauer measurements have been made on ${\mathrm{Fe}}^{57}$ in iron near the Curie temperature. The discontinuity in the isomer shift near $T_c$ is found to take place within a temperature range of less than 0.3°C, which suggests that this magnetic transition could be of first order. The "critical index" $\beta$ for the variation with temperature of the spontaneous magnetization in the range $0.98T_c<T<\mathrm{}0.9992\mathrm{}{T}_c$ is found to be definitely greater than $\frac{1}{3}$.

The upper-critical-field behavior of type-II superconductors in the presence of strong magnetic exchange fields is reported. In regimes where the exchange fields are temperature dependent the critical-field displays a nonmonotonic dependence on temperature as predicted by de Gennes and Sarma.

A reanalysis of a previously reported experiment on the reaction ${\mathrm{W}}^{182}(d, p){\mathrm{W}}^{183}$ still shows a serious discrepancy in the absolute spectroscopic factors if we use distortion parameters that fit the elastic-scattering data. Similar deviations exist for ($d, p$) reactions on other rare-earth and actinide nuclei.

A superconvergent sum rule for nucleon Compton scattering is derived. The agreement with experiment is good.