Cross-sections of muon-catalyzed fusion reactions.

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Bibliographic Details
Title: Cross-sections of muon-catalyzed fusion reactions.
Authors: Mikhail, Egorov1 (AUTHOR) egorovphys@mail.ru
Source: International Journal of Modern Physics E: Nuclear Physics. Jun2026, Vol. 35 Issue 6, p1-15. 15p.
Subject Terms: *Nuclear cross sections, *Three-body problem, *Nuclear fusion, *Bremsstrahlung, *Integral equations, *Electrostatic interaction, *Plasma physics
Abstract: Muon-catalyzed nuclear fusion reactions in-flight have long been overshadowed by fusion from molecular states, primarily due to the perception that their reaction rates are lower than the free muon's lifetime. The total cross-sections of reactions catalyzed by μ − -muons exceed those of uncatalyzed reactions and constitute a primary focus of theoretical modeling efforts. In this work, three microscopic models are presented for the mirror reactions d 3 H → n4He and d 3 He → p4He. These models are employed to numerically solve the Faddeev integral three-body equations for systems of the type d − (y − 3 H) and d − (y − 3 He) , where y − ∈ [ e − , μ − ] , in momentum space. The Coulomb interaction is accounted for in a two-potential scheme. The ratio of the three-body cross-sections calculated for the muon and the electron is used to infer the role of the muon in in-flight nuclear fusion. Finally, the obtained cross-sections are utilized to compare the power generated by catalyzed reactions with the bremsstrahlung power losses of the electron in a plasma environment. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
Description
Abstract:Muon-catalyzed nuclear fusion reactions in-flight have long been overshadowed by fusion from molecular states, primarily due to the perception that their reaction rates are lower than the free muon's lifetime. The total cross-sections of reactions catalyzed by μ − -muons exceed those of uncatalyzed reactions and constitute a primary focus of theoretical modeling efforts. In this work, three microscopic models are presented for the mirror reactions d 3 H → n4He and d 3 He → p4He. These models are employed to numerically solve the Faddeev integral three-body equations for systems of the type d − (y − 3 H) and d − (y − 3 He) , where y − ∈ [ e − , μ − ] , in momentum space. The Coulomb interaction is accounted for in a two-potential scheme. The ratio of the three-body cross-sections calculated for the muon and the electron is used to infer the role of the muon in in-flight nuclear fusion. Finally, the obtained cross-sections are utilized to compare the power generated by catalyzed reactions with the bremsstrahlung power losses of the electron in a plasma environment. [ABSTRACT FROM AUTHOR]
ISSN:02183013
DOI:10.1142/S0218301326410247