Application to μ⁺e⁻e⁺and pμ⁻e⁺of a new method for taking into account the finite nuclear mass in the determination of the absence of bound states

A recently published new method by Armour (1982) for taking into account finite nuclear mass in the determination of the absence of bound states is applied to a system made up of muonium ( mu + e - ) and a positron (e + ) and also to one made up of a mesic atom (p mu - ) and a positron. It is shown that neither system has a bound state below the continuum. Some aspects of the method, which have only been briefly referred to hitherto, are discussed in detail.