Exact finite-range DWBA treatment of heavy-ion-induced reactions to unbound residual states

We show that when one considers heavy-ion-induced direct nuclear reactions, the narrowly localized reaction surface makes a traditional approximation used in analysis of light-ion reactions to particle-unbound states a very poor one. Even for unbound states having single-particle widths 10^?5 of their resonance energies, quite different heavy-ion angular distributions are predicted using weakly-bound states versus more realistic complex-energy eigenstates (Gamow states).     

On cullen numbers

A table of Karst which gives the factorizations ofC _n =n2 ⁿ +1 is completed ton=101.     

Electrical resistivity of liquid gold-silicon alloys

The electrical resistivity of liquid Au_1?xSi_x alloys was measured in the gold-rich concentration range, 0.16 ? x ? 0.40, as a function of temperature and composition. In this region the temperature coefficients of the resistivity is negative. The resistivities and temperature coefficients are compared with recent data on amorphous sputtered films; for x ? 0.31 the resistivities of the films are in agreement with those of the liquids within the accuracy of the measurements. The results can be interpreted in terms of the Ziman theory.     

Predominance of d electrons in the conduction bands of rare earths and intermetallic compounds

With a view to study the nature of the conduction electrons in rare earth metals and intermetallic compounds self consistent augmented-plane-wave calculations have been performed for DyZn. The results indicate that 72 per cent of conduction electrons inside the APW sphere of Dy have d character. The dependence of the nature of the conduction electrons on the exchange potential has also been studied.     

More exact invariants for the time-dependent harmonic oscillator

We derive an infinite number of new invariants and related auxiliary equations for the time-dependent harmonic oscillator.