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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 1, Pages 76–86
DOI: https://doi.org/10.4213/tmf8978 (Mi tmf8978) 		 
Adiabatic representation in the Coulomb three-body problem in the united-atom limit: Nuclear widths of the energy levels of the muonic molecule $tt\mu$

V. S. Melezhikab

a Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
b Dubna State University, Dubna, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf8978
Abstract: We study the asymptotic behavior of the wave function of the system of three Coulomb particles in the united-atom limit in the adiabatic representation of the three-body problem. This result is used to calculate the nuclear widths of muonic-molecule energy levels. We discuss features of the approach with regard to excited states of the muonic molecule $tt\mu$ with a nonzero orbital angular momentum.
Keywords: three-body problem, Coulomb two-center problem, adiabatic representation, muon-catalyzed fusion, wave function of the muonic molecule, nuclear fusion in the muonic molecule, astrophysical factor.
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 1, Pages 61–69
DOI: https://doi.org/10.1134/S0040577916010050
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. S. Melezhik, “Adiabatic representation in the Coulomb three-body problem in the united-atom limit: Nuclear widths of the energy levels of the muonic molecule $tt\mu$”, TMF, 186:1 (2016), 76–86; Theoret. and Math. Phys., 186:1 (2016), 61–69
Citation in format AMSBIB
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