Adiabatic representation in the Coulomb three-body problem in the united-atom limit: Nuclear widths of the energy levels of the muonic molecule ttµ

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• 作者：V. S. Melezhik
• 关键词：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
• 刊名：Theoretical and Mathematical Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：186
• 期：1
• 页码：61-69
• 全文大小：532 KB
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• 作者单位：V. S. Melezhik (1)
  
  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Applications of Mathematics
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-9333

文摘

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 ttµ 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