Abstract
Properties of some few-body systems which include one positively charged muon and two electrons are discussed. In particular, we consider the negatively charged muonium ion Mu (or ) and four-body MuPs (or ) 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 23.05758 MHz. Another group of interesting four-body neutral systems investigated in this study includes the and ‘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.
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