K-shell vacancy creation by light ions in the intermediate and high energy regions

Vita.Approximation methods are developed for calculating the K-shell vacancy creation cross-sections for incident projectiles in the intermediate [Equation in PDF] and the high [Equation in PDF] energy regions. For the high energy region the Cheshire approximation is used. A detailed comparison is made with the first Born and Glauber approximations. The results for the three approximation methods are presented at a range of energies for the elements Carbon, Copper and Titanium. It is found that the Cheshire method is a considerable improvement over the other two. However this method fails completely below the high energy region. For the intermediate energy region, the Born approximation is used to include terms of second order in the interaction potential. The sum over intermediate and final states includes s, p and d states only. The contribution of the d states is found to be small, but it is expected to be more important at higher energies. This method combines several standard numerical techniques in a novel way to obtain cross-sections with much less computing effort than the other approaches. The method incorporates a truncated basis set with a simpler radial dependence than Slater orbitals. Integrals with rapidly oscillating integrands are treated in a special way, and care is exercised in including the end point contributions. The results for a range of energies are given for the elements Titanium, Aluminum and Nickel. The cross-sections obtained agree well with experiments at the lowest energies considered. A reason for the discrepancy at higher energies is suggested