SDCS quantum mechanical flux formula revisited for electron-hydrogen ionization

• Autores: Ancarani, L. U.; Randazzo, Juan Martin
• Año de publicación: 2013
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: ionization; differential cross section; flux formula
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

Through a simple, classical, energy conservation analysis, we propose a fi-
nite distance reinterpretation of the standard energy fraction definition used for the electron-hydrogen S wave ionization process. The energy modification is due to the fact that, at finite distances from the nucleus, the continuum electrons have to over-come the remaining potential energy to be completely free. As a consequence, the flux formula for extracting - at finite distances - single differential cross sections (SDCS) is also modified. Differently from the usual observations, the proposed corrections yield finite and well behaved SDCS values also at the asymmetrical situation where one of the continuum electrons carries all the energy while the other has zero energy. Re-sults of calculations performed at various impact energies, for both singlet and triplet
symmetry, are presented and compared favorably with benchmark theoretical data. Although we do not know how, we believe that finite distance effects should strongly affect the evaluation of the flux and consequently the SDCS, also in the full electron-hydrogen case.
Fil: Ancarani, L. U.. Université de Lorraine; Francia
Fil: Randazzo, Juan Martin. Comisión Nacional de Energí­a Atómica. Gerencia del Area Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Balseiro). División Colisiones Atómicas; Argentina