arXiv:physics/0304034 v1 9 Apr 2003 Analytical Approach to Fast (e,3e) Double Ionization of Molecular Hydrogen P. F. Weck 1 ∗ , O. A. Foj´on 2,3 , C. R. Stia 2 , and R. D. Rivarola 2,3 1 Department of Physics & Astronomy and Center for Simulational Physics, The University of Georgia, Athens, GA 30602-2451, USA 2 Instituto de F´ ısica Rosario, CONICET-UNR, Av. Pellegrini 250, 2000 Rosario, Argentina. 3 Escuela de Ciencias Exactas y Naturales, Facultad de Ciencias Exactas, Ingenier´ ıa y Agrimensura, Universidad Nacional de Rosario, 2000 Rosario, Argentina. (Dated: June 6, 2005) Abstract In the present work, a theoretical treatment is proposed to study the double ionization of homonu- clear diatomic targets by fast electron impact. By application of two-effective-center continuum waves to describe the ejected electrons in the exit channel and by use of Nordsieck-type integrals, an expression has been obtained by an analytical treatment for the fivefold differential cross sec- tion, the relevant quantity to describe the kinematically complete (e,3e) collisions in the coplanar geometry. The correlate motion of the ejected electrons is taken into account by means of adequate Sommerfeld parameters. PACS numbers: 34.80.Gs * E-mail: weck@physast.uga.edu Former address: Instituto de F´ ısica Rosario, CONICET-UNR 1