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Internal structure and positron annihilation in the four-body MuPs system

  • Alexei M. Frolov
Regular Article

Abstract

A large number of bound state properties of the four-body muonium-positronium system MuPs (or μ + e - 2 e +) are determined to high accuracy. Based on these expectation values we predict that the weakly-bound four-body MuPs system has the ‘two-body’ cluster structure Mu + Ps. The two neutral clusters Mu (μ + e ) and Ps (e + e ) interact with each other by the attractive van der Waals forces. By using our expectation values of the electron-positron delta-functions we evaluated the half-life τ a of the MuPs system against annihilation of the electron-positron pair: τa = 1/Γ ≈ 4.071509 × 10-10 s. The hyperfine structure splitting of the ground state in the MuPs system evaluated with our expectation values is Δ ≈ 23.064(5) MHz.

Keywords

Clusters and Nanostructures 

References

  1. 1.
    A.M. Frolov, Z. Phys. 2, 61 (1986)Google Scholar
  2. 2.
    Y. Kuang et al., Phys. Rev. A 39, 6109 (1989)CrossRefADSGoogle Scholar
  3. 3.
    N.N. Kolesnikov, V.I. Tarasov, Yad. Fiz. 35, 609 (1982), [Sov. J. Nucl. Phys. 35, 354 (1982)]Google Scholar
  4. 4.
    CRC Handbook of Chemistry and Physics, edited by W.M. Haynes, 95th edn. (CRC Press, Taylor & Francis Group, Boca Raton, 2015)Google Scholar
  5. 5.
    G.P. Lepage, P.B. Mackenzie, K.H. Streng, P.M. Zerwas, Phys. Rev. A 28, 3090 (1983)CrossRefADSGoogle Scholar
  6. 6.
    A.M. Frolov, D.M. Wardlaw, Phys. Lett. A 374, 1732 (2010)CrossRefADSMATHGoogle Scholar
  7. 7.
    A.M. Frolov, Phys. Lett. A 376, 1451 (2012)CrossRefADSMATHGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Applied MathematicsUniversity of Western OntarioLondonCanada

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