Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Ground state for two-electron and electron-muon three-body atomic systems |
Autor: | Rodriguez, K.V.; Ancarani, L.U.; Gasaneo, G.; Mitnik, D.M. |
Filiación: | Departamento de Física, Universidad Nacional del sur, Consejo Nacional de Investigaciones Científicas y Técnicas, 8000 Bahía Blanca, Buenos Aires, Argentina Laboratoire de Physique Moléculaire et des Collisions, Université Paul Verlaine-Metz, 57078 Metz, France Instituto de Astronomía y Física del Espacio, Departamento de Fisica, Universidad de Buenos Aires, Buenos Aires, Argentina
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Palabras clave: | 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 |
Año: | 2010
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Volumen: | 110
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Número: | 10
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Página de inicio: | 1820
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Página de fin: | 1832
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DOI: |
http://dx.doi.org/10.1002/qua.22356 |
Título revista: | International Journal of Quantum Chemistry
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Título revista abreviado: | Int J Quantum Chem
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ISSN: | 00207608
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CODEN: | IJQCB
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v110_n10_p1820_Rodriguez |
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Citas:
---------- APA ----------
Rodriguez, K.V., Ancarani, L.U., Gasaneo, G. & Mitnik, D.M.
(2010)
. Ground state for two-electron and electron-muon three-body atomic systems. International Journal of Quantum Chemistry, 110(10), 1820-1832.
http://dx.doi.org/10.1002/qua.22356---------- CHICAGO ----------
Rodriguez, K.V., Ancarani, L.U., Gasaneo, G., Mitnik, D.M.
"Ground state for two-electron and electron-muon three-body atomic systems"
. International Journal of Quantum Chemistry 110, no. 10
(2010) : 1820-1832.
http://dx.doi.org/10.1002/qua.22356---------- MLA ----------
Rodriguez, K.V., Ancarani, L.U., Gasaneo, G., Mitnik, D.M.
"Ground state for two-electron and electron-muon three-body atomic systems"
. International Journal of Quantum Chemistry, vol. 110, no. 10, 2010, pp. 1820-1832.
http://dx.doi.org/10.1002/qua.22356---------- VANCOUVER ----------
Rodriguez, K.V., Ancarani, L.U., Gasaneo, G., Mitnik, D.M. Ground state for two-electron and electron-muon three-body atomic systems. Int J Quantum Chem. 2010;110(10):1820-1832.
http://dx.doi.org/10.1002/qua.22356