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Title: Description of the continuous spectrum of a three-body Coulomb system within the J-matrix approach

Abstract

The contribution of the continuous spectrum of two-body Coulomb sybsystems to reaction matrix elements is studied. The respective Faddeev-Merkuriev differential equations are solved within the J-matrix approach. The differential cross sections for the double ionization of a helium atom by a direct electron impact is calculated by way of example. The results agree well with experimental data both in shape of the cross sections and in magnitude.

Authors:
;  [1];  [2]
  1. Pacific National University (Russian Federation), E-mail: knyr@fizika.khstu.ru
  2. Moscow State University (Russian Federation), E-mail: popov@srd.sinp.msu.ru
Publication Date:
OSTI Identifier:
21075899
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 4; Other Information: DOI: 10.1134/S1063778807040084; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; DIFFERENTIAL CROSS SECTIONS; DIFFERENTIAL EQUATIONS; ELECTRON BEAMS; ELECTRONS; FADDEEV EQUATIONS; HELIUM; HELIUM IONS; IONIZATION; MATRICES; MATRIX ELEMENTS; SPECTRA; THREE-BODY PROBLEM; TWO-BODY PROBLEM

Citation Formats

Zaytsev, S. A., E-mail: zaytsev@fizika.khstu.ru, Knyr, V. A., and Popov, Yu. V.. Description of the continuous spectrum of a three-body Coulomb system within the J-matrix approach. United States: N. p., 2007. Web. doi:10.1134/S1063778807040084.
Zaytsev, S. A., E-mail: zaytsev@fizika.khstu.ru, Knyr, V. A., & Popov, Yu. V.. Description of the continuous spectrum of a three-body Coulomb system within the J-matrix approach. United States. doi:10.1134/S1063778807040084.
Zaytsev, S. A., E-mail: zaytsev@fizika.khstu.ru, Knyr, V. A., and Popov, Yu. V.. Sun . "Description of the continuous spectrum of a three-body Coulomb system within the J-matrix approach". United States. doi:10.1134/S1063778807040084.
@article{osti_21075899,
title = {Description of the continuous spectrum of a three-body Coulomb system within the J-matrix approach},
author = {Zaytsev, S. A., E-mail: zaytsev@fizika.khstu.ru and Knyr, V. A. and Popov, Yu. V.},
abstractNote = {The contribution of the continuous spectrum of two-body Coulomb sybsystems to reaction matrix elements is studied. The respective Faddeev-Merkuriev differential equations are solved within the J-matrix approach. The differential cross sections for the double ionization of a helium atom by a direct electron impact is calculated by way of example. The results agree well with experimental data both in shape of the cross sections and in magnitude.},
doi = {10.1134/S1063778807040084},
journal = {Physics of Atomic Nuclei},
number = 4,
volume = 70,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}