Cross-sections of muon-catalyzed fusion reactions.
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| 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: enr DbLabel: Energy & Power Source An: 194092349 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Cross-sections of muon-catalyzed fusion reactions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mikhail%2C+Egorov%22">Mikhail, Egorov</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> egorovphys@mail.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modern+Physics+E%3A+Nuclear+Physics%22">International Journal of Modern Physics E: Nuclear Physics</searchLink>. Jun2026, Vol. 35 Issue 6, p1-15. 15p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Nuclear+cross+sections%22">Nuclear cross sections</searchLink><br />*<searchLink fieldCode="DE" term="%22Three-body+problem%22">Three-body problem</searchLink><br />*<searchLink fieldCode="DE" term="%22Nuclear+fusion%22">Nuclear fusion</searchLink><br />*<searchLink fieldCode="DE" term="%22Bremsstrahlung%22">Bremsstrahlung</searchLink><br />*<searchLink fieldCode="DE" term="%22Integral+equations%22">Integral equations</searchLink><br />*<searchLink fieldCode="DE" term="%22Electrostatic+interaction%22">Electrostatic interaction</searchLink><br />*<searchLink fieldCode="DE" term="%22Plasma+physics%22">Plasma physics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=enr&AN=194092349 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0218301326410247 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1 Subjects: – SubjectFull: Nuclear cross sections Type: general – SubjectFull: Three-body problem Type: general – SubjectFull: Nuclear fusion Type: general – SubjectFull: Bremsstrahlung Type: general – SubjectFull: Integral equations Type: general – SubjectFull: Electrostatic interaction Type: general – SubjectFull: Plasma physics Type: general Titles: – TitleFull: Cross-sections of muon-catalyzed fusion reactions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mikhail, Egorov IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02183013 Numbering: – Type: volume Value: 35 – Type: issue Value: 6 Titles: – TitleFull: International Journal of Modern Physics E: Nuclear Physics Type: main |
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