Ground state for two-electron and electron-muon three-body atomic systems

In this article, the angular correlated configuration interaction method previously introduced by some of the authors is extended to three-body atomic systems with general masses. A recently proposed angularly correlated basis set is used to construct ground state wave functions which: (i) satisfy e...

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Autores principales: Rodriguez, K.V., Ancarani, L.U., Gasaneo, G., Mitnik, D.M.
Formato: JOUR
Materias:
Muonium ground state
Three-body systems
Variational functions
Atomic collision
Atomic system
Basis sets
Configuration interaction method
Convergency rate
Ground state wavefunctions
Ground-state energies
Linear coefficients
Lithium-like systems
Mean values
Multidimensional integration
Positively charged
Practical calculation
Atoms
Coalescence
Ground state
Helium
Wave functions
Lithium
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00207608_v110_n10_p1820_Rodriguez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00207608_v110_n10_p1820_Rodriguez
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spelling todo:paper_00207608_v110_n10_p1820_Rodriguez2023-10-03T14:18:40Z Ground state for two-electron and electron-muon three-body atomic systems Rodriguez, K.V. Ancarani, L.U. Gasaneo, G. Mitnik, D.M. Muonium ground state Three-body systems Variational functions Atomic collision Atomic system Basis sets Configuration interaction method Convergency rate Ground state wavefunctions Ground-state energies Linear coefficients Lithium-like systems Mean values Multidimensional integration Muonium ground state Positively charged Practical calculation Three-body systems Variational functions Atoms Coalescence Ground state Helium Wave functions Lithium In this article, the angular correlated configuration interaction method previously introduced by some of the authors is extended to three-body atomic systems with general masses. A recently proposed angularly correlated basis set is used to construct ground state wave functions which: (i) satisfy exactly Kato cusp conditions atthe two-body coalescence points; (ii) have only linear coefficients; and (iii) show a fast convergency rate for the energy. The efficiency of the construction is illustrated by the study of the negatively charged hydrogen-like systems (∞H-, T-, D-, 1H-, and Mu-), neutral helium-like systems (e-e- ∞He +2,e-e- 4He+2, e -e- 3He+2, e-μ - ∞He+2, e-μ -4He+2, and e-μ- 3He+2), and positively charged lithium-like systems (e-e- ∞Li+3,e -e- 7Li+3, e-e - 6Li+3, e-μ- ∞Li+3, e-μ- 7Li+3, and e-μ- 6Li+3). The ground state energies and other mean values are compared with those given in the literature, when available. Wave functions with a moderate number of (20 maximum) linear coefficients are given explicitly; they are sufficiently simple and accurate to be used in practical calculations of atomic collision in which multidimensional integrations are involved. © 2009 Wiley Periodicals, Inc. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00207608_v110_n10_p1820_Rodriguez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Muonium ground state
Three-body systems
Variational functions
Atomic collision
Atomic system
Basis sets
Configuration interaction method
Convergency rate
Ground state wavefunctions
Ground-state energies
Linear coefficients
Lithium-like systems
Mean values
Multidimensional integration
Muonium ground state
Positively charged
Practical calculation
Three-body systems
Variational functions
Atoms
Coalescence
Ground state
Helium
Wave functions
Lithium
spellingShingle Muonium ground state
Three-body systems
Variational functions
Atomic collision
Atomic system
Basis sets
Configuration interaction method
Convergency rate
Ground state wavefunctions
Ground-state energies
Linear coefficients
Lithium-like systems
Mean values
Multidimensional integration
Muonium ground state
Positively charged
Practical calculation
Three-body systems
Variational functions
Atoms
Coalescence
Ground state
Helium
Wave functions
Lithium
Rodriguez, K.V.
Ancarani, L.U.
Gasaneo, G.
Mitnik, D.M.
Ground state for two-electron and electron-muon three-body atomic systems
topic_facet Muonium ground state
Three-body systems
Variational functions
Atomic collision
Atomic system
Basis sets
Configuration interaction method
Convergency rate
Ground state wavefunctions
Ground-state energies
Linear coefficients
Lithium-like systems
Mean values
Multidimensional integration
Muonium ground state
Positively charged
Practical calculation
Three-body systems
Variational functions
Atoms
Coalescence
Ground state
Helium
Wave functions
Lithium
description In this article, the angular correlated configuration interaction method previously introduced by some of the authors is extended to three-body atomic systems with general masses. A recently proposed angularly correlated basis set is used to construct ground state wave functions which: (i) satisfy exactly Kato cusp conditions atthe two-body coalescence points; (ii) have only linear coefficients; and (iii) show a fast convergency rate for the energy. The efficiency of the construction is illustrated by the study of the negatively charged hydrogen-like systems (∞H-, T-, D-, 1H-, and Mu-), neutral helium-like systems (e-e- ∞He +2,e-e- 4He+2, e -e- 3He+2, e-μ - ∞He+2, e-μ -4He+2, and e-μ- 3He+2), and positively charged lithium-like systems (e-e- ∞Li+3,e -e- 7Li+3, e-e - 6Li+3, e-μ- ∞Li+3, e-μ- 7Li+3, and e-μ- 6Li+3). The ground state energies and other mean values are compared with those given in the literature, when available. Wave functions with a moderate number of (20 maximum) linear coefficients are given explicitly; they are sufficiently simple and accurate to be used in practical calculations of atomic collision in which multidimensional integrations are involved. © 2009 Wiley Periodicals, Inc.
format JOUR
author Rodriguez, K.V.
Ancarani, L.U.
Gasaneo, G.
Mitnik, D.M.
author_facet Rodriguez, K.V.
Ancarani, L.U.
Gasaneo, G.
Mitnik, D.M.
author_sort Rodriguez, K.V.
title Ground state for two-electron and electron-muon three-body atomic systems
title_short Ground state for two-electron and electron-muon three-body atomic systems
title_full Ground state for two-electron and electron-muon three-body atomic systems
title_fullStr Ground state for two-electron and electron-muon three-body atomic systems
title_full_unstemmed Ground state for two-electron and electron-muon three-body atomic systems
title_sort ground state for two-electron and electron-muon three-body atomic systems
url http://hdl.handle.net/20.500.12110/paper_00207608_v110_n10_p1820_Rodriguez
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AT ancaranilu groundstatefortwoelectronandelectronmuonthreebodyatomicsystems
AT gasaneog groundstatefortwoelectronandelectronmuonthreebodyatomicsystems
AT mitnikdm groundstatefortwoelectronandelectronmuonthreebodyatomicsystems
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