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Title: Solving Faddeev-Merkuriev equations within the J-matrix approach: Application to coulomb problems

Abstract

A version of the J-matrix method for solving three-body differential Faddeev-Merkuriev equations is proposed. This version permits taking into account the full spectrum of a two-body Coulomb subsystem. Laguerre functions are used as a basis in expanding the total wave function of the problem being considered. In order to test the efficiency of the proposed method, the differential cross section for single ionization of a helium atom is calculated where the emerging He{sup +} ion remains in an excited state. The result agrees satisfactorily with experimental data both in the shape of the respective curve and in magnitude.

Authors:
;  [1];  [2]
  1. Khabarovsk State Technical University (Russian Federation), E-mail: knyr@fizika.khstu.ru
  2. Moscow State University, Institute of Nuclear Physics (Russian Federation), E-mail: popov@srd.sinp.msu.ru
Publication Date:
OSTI Identifier:
21076118
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 69; Journal Issue: 2; Other Information: DOI: 10.1134/S1063778806020098; Copyright (c) 2006 Nauka/Interperiodica; Article Copyright (c) 2006 Pleiades Publishing, Inc; 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; EFFICIENCY; EQUATIONS; EXCITED STATES; FADDEEV EQUATIONS; HELIUM; HELIUM IONS; IONIZATION; LICENSES; MATHEMATICAL SOLUTIONS; MATRICES; SPECTRA; THREE-BODY PROBLEM; TWO-BODY PROBLEM; WAVE FUNCTIONS

Citation Formats

Zaitsev, S. A., E-mail: zaytsev@fizika.khstu.ru, Knyr, V. A., and Popov, Yu. V. Solving Faddeev-Merkuriev equations within the J-matrix approach: Application to coulomb problems. United States: N. p., 2006. Web. doi:10.1134/S1063778806020098.
Zaitsev, S. A., E-mail: zaytsev@fizika.khstu.ru, Knyr, V. A., & Popov, Yu. V. Solving Faddeev-Merkuriev equations within the J-matrix approach: Application to coulomb problems. United States. doi:10.1134/S1063778806020098.
Zaitsev, S. A., E-mail: zaytsev@fizika.khstu.ru, Knyr, V. A., and Popov, Yu. V. Wed . "Solving Faddeev-Merkuriev equations within the J-matrix approach: Application to coulomb problems". United States. doi:10.1134/S1063778806020098.
@article{osti_21076118,
title = {Solving Faddeev-Merkuriev equations within the J-matrix approach: Application to coulomb problems},
author = {Zaitsev, S. A., E-mail: zaytsev@fizika.khstu.ru and Knyr, V. A. and Popov, Yu. V.},
abstractNote = {A version of the J-matrix method for solving three-body differential Faddeev-Merkuriev equations is proposed. This version permits taking into account the full spectrum of a two-body Coulomb subsystem. Laguerre functions are used as a basis in expanding the total wave function of the problem being considered. In order to test the efficiency of the proposed method, the differential cross section for single ionization of a helium atom is calculated where the emerging He{sup +} ion remains in an excited state. The result agrees satisfactorily with experimental data both in the shape of the respective curve and in magnitude.},
doi = {10.1134/S1063778806020098},
journal = {Physics of Atomic Nuclei},
number = 2,
volume = 69,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}