Eikonal-Born Series Methods in Electron-Atom Scattering

Abstract

There have been two developments in recent atomic collision theory which are particularly important from a fundamental point of view. The first of these was the use of the closure approximation to study the second term in the many-particle Born series, primarily by Moiseiwitsch and his collaborators^l. This enabled one to envision the possibility of systematically correcting the well-known and often used first Born approximation. The second development was the introduction of the Glauber approximation² into atomic physics. By making certain key simplifications of the closure method through the use of eikonal concepts, this approximation gave a particularly attractive way of summing parts of perturbation theory to all orders.