2016/11/09 by Alexei M. Frolov, Frolov, Alexei M
Engineering · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Atomic and Molecular Physics #FOS: Physical sciences #Muon and positron interactions and applications #Particle accelerators and beam dynamics
paper · pdf · doi:10.48550/arxiv.1611.03124
openalex publication_date 2016/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Properties of some few-body systems which include one positively charged muon μ+ and two electrons e- are discussed. In particular, we consider the negatively charged muonium ion Mu- (or μ+ e-2) and four-body MuPs (or μ+ e-2 e+) systems each of which has only one stable bound (ground) state. The problem of annihilation of the electron-positron pair(s) in the MuPs system is investigated. The hyperfine structure splitting of the ground state in the MuPs system evaluated with our expectation value of the muon-positron delta-function is Δ≈ 23.05758 MHz. Another group of interesting four-body neutral systems investigated in this study includes the p+ μ+ e-2, d+ μ+ e-2 and t+ μ+ e-2 `quasi-molecules'. These quasi-molecules are formed in large numbers when positively charged muons slow down in liquid hydrogen, or in liquid deuterium and/or tritium. The properties of these systems are unique, since they occupy an intermediate position between actual two-center molecules and one-center atoms.