Inversion relations for exclusive and inclusive cross sections within the independent electron approximation
Abstract
Inversion relations expressing inclusive cross sections as linear combinations of exclusive cross sections are derived within the independent electron approximation without exchange. Both binomial and multinomial probability distributions are used. No particular model is used for P(b-->). A criterion for applicability of the multinomial probability distribution to describe second-order transitions for the different collision channels, also independent of P(b-->), is presented. The coupling of ionization and capture of outer-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.
- Publication:
-
Physical Review A
- Pub Date:
- September 1998
- DOI:
- 10.1103/PhysRevA.58.2148
- Bibcode:
- 1998PhRvA..58.2148S
- Keywords:
-
- 34.10.+x;
- 34.50.-s;
- 34.70.+e;
- General theories and models of atomic and molecular collisions and interactions;
- Scattering of atoms and molecules;
- Charge transfer