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Theoretical Study of Triatomic Systems Involving Helium Atoms

The triatomic 4 He system and its isotopic species are theoretically investigated. By adopting the best empirical helium interaction potentials, we calculate the bound state energy levels as well as the rates for the three-body recombination processes: 4 He +  4 He +  4 He → 4 He 2  +  4 He and 4 He...

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Bibliographic Details
Published in:Few-body systems 2013-08, Vol.54 (7-10), p.1557-1560
Main Authors: Suno, H., Hiyama, E., Kamimura, M.
Format: Article
Language:English
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Summary:The triatomic 4 He system and its isotopic species are theoretically investigated. By adopting the best empirical helium interaction potentials, we calculate the bound state energy levels as well as the rates for the three-body recombination processes: 4 He +  4 He +  4 He → 4 He 2  +  4 He and 4 He +  4 He +  3 He → 4 He 2  +  3 He. We consider not only zero total angular momentum J = 0 states, but also J > 0 states. We also extend our study to mixed helium-alkali triatomic systems, that is 4 He 2 X with X  =  7 Li,  23 Na, 39 K, 85 Rb, and 133 Cs. The energy levels of all the J ≥ 0 bound states for these species are calculated as well as the rates for three-body recombination processes such as 4 He +  4 He +  7 Li → 4 He 2  +  7 Li and 4 He +  4 He +  7 Li → 4 He 7 Li +  4 He. In our calculations, the adiabatic hyperspherical representation is employed but we also obtain preliminary results using the Gaussian expansion method.
ISSN:0177-7963
1432-5411
DOI:10.1007/s00601-013-0708-z