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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2010
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v110_n10_p1820_Rodriguez http://hdl.handle.net/20.500.12110/paper_00207608_v110_n10_p1820_Rodriguez |
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paper:paper_00207608_v110_n10_p1820_Rodriguez2023-06-08T14:41:31Z Ground state for two-electron and electron-muon three-body atomic systems 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. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v110_n10_p1820_Rodriguez 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 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. |
| 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 |
| publishDate |
2010 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v110_n10_p1820_Rodriguez http://hdl.handle.net/20.500.12110/paper_00207608_v110_n10_p1820_Rodriguez |
| _version_ |
1768545311425298432 |