Geodesic
Adiabatic representation in the~Coulomb three-body problem in the~united-atom limit: Nuclear widths of the~energy levels of the~muonic molecule~$tt\mu$
Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 1, pp. 76-86

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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. 
@article{TMF_2016_186_1_a3,
     author = {V. S. Melezhik},
     title = {Adiabatic representation in {the~Coulomb} three-body problem in the~united-atom limit: {Nuclear} widths of the~energy levels of the~muonic molecule~$tt\mu$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {76--86},
     publisher = {mathdoc},
     volume = {186},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a3/}
}
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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~$tt\mu$. Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 1, pp. 76-86. http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a3/