Internal structure and positron annihilation in the four-body MuPs system
Department of Applied Mathematics, University of Western Ontario, London, Ontario N6H 5B7, Canada
Received: 17 November 2014
Received in final form: 7 January 2015
Published online: 19 February 2015
A large number of bound state properties of the four-body muonium-positronium system MuPs (or μ+e-2e+) 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 τa 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.
Key words: Clusters and Nanostructures
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2015