Compressional Oscillations Research Articles

Asymptotic Structure in Eigenfrequencies of Spheroidal Normal Modes of the Earth

Summary The modes of the spheroidal oscillations nS1 of the Earth can, for small 1, be classified according to the body wave modes PKIKP (compressional oscillations in the whole Earth), (SS)v type depends strongly on upper mantle structure. The inner core was virtually homogeneous in the models analysed, and this was reflected in an absence of perturbations in the asymptote of the J mode. Estimates of the radial travel times of each wave type can be derived from the asymptotic eigenperiods. The radial modes nSo are all of PKIKP type, and the asymptotic structure of observed eigenperiods of these modes is clearly perturbed by the presence of the core discontinuities, thus confirming the existence of the solotone effect analysed theoretically by MNabb et al.

Electron Scattering from a Quantized Liquid Drop

The theory of an electron interacting with a quantized liquid drop is examined, the Hamiltonian being consistently written to second order in the parameters describing the distortion. When second-order terms are kept, some care is necessary in defining the observable value of the radius. Form factors, calculated in Born approximation, for all of the transitions in the drop model are given, as well as the probabilities for real photon emission. The correction to Coulomb scattering coming from the exchange of a transverse photon is also calculated. A model is made of the contribution of the nuclear magnetization to the transverse photon exchange. In general, the Coulomb scattering will dominate. Spherically symmetric compressional oscillations of a drop with surface tension are also discussed and the form factors for transitions are calculated.