Convergent close coupling versus the generalized Sturmian function approach: Wave-function analysis

We compare the physical information contained in the Temkin-Poet (TP) scattering wave function representing electron-impact ionization of hydrogen, calculated by the convergent close-coupling (CCC) and generalized Sturmian function (GSF) methodologies. The idea is to show that the ionization cross s...

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Bibliographic Details
Authors: Ambrosio, Marcelo José, Mitnik, Dario Marcelo, Gasaneo, Gustavo, Randazzo, Juan Martin, Kadyrov, A. S., Fursa, D. V., Bray, I.
Format: article
Status:Published version
Publication Date:2015
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/17846
Online Access:http://hdl.handle.net/11336/17846
Access Level:Open access
Keyword:Convergent Close Coupling
Generalized Sturmian Functions
Hyperspherical coordinates
Single differential cross section
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Description
Summary:We compare the physical information contained in the Temkin-Poet (TP) scattering wave function representing electron-impact ionization of hydrogen, calculated by the convergent close-coupling (CCC) and generalized Sturmian function (GSF) methodologies. The idea is to show that the ionization cross section can be extracted from the wave functions themselves. Using two different procedures based on hyperspherical Sturmian functions we show that the transition amplitudes contained in both GSF and CCC scattering functions lead to similar single-differential cross sections. The single-continuum channels were also a subject of the present studies, and we show that the elastic and excitation amplitudes are essentially the same as well.

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