INVERSION RELATIONS FOR EXCLUSIVE AND INCLUSIVE CROSS-SECTIONS WITHINTHE INDEPENDENT ELECTRON APPROXIMATION

Inversion relations expressing inclusive cross sections as linear comb inations of exclusive cross sections are derived within the independen t electron approximation without exchange. Both binomial and multinomi al probability distributions are used. No particular model is used for P((b) over right arrow). A criterion for applicability of the multino mial probability distribution to describe second-order transitions for the different collision channels, also independent of P((b) over righ t arrow), is presented. The coupling of ionization and capture of oute r-shell electrons is discussed and the inversion relations derived are applied to the analysis of coincidence measurements of projectile and target charge states. Parametrization and scaling laws for single and double ionization of outer-shell electrons of many-electron atoms are considered by studying the influence of the electron capture channel.