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A possibility of a verification of CPT-invariance of QED for bound states byexample of muonium or antimuonium produced in reactions of scattering ofelectrons or positrons by nuclei is considered. The number of events of themuonium production is estimated for contemporary accelerators. The method ofthe detection of muonium by measuring of oscillations of the decay curve causedby the interference between the ground and excited state of muonium issuggested. The admixture of the excited muonium to the final state iscalculated.Comment: 7 pages, 3 figures, Latex, published in JETP 74, 196 (2001),  corrected mistypes in eqs. (2.2), (2.4), (2.7

Test for the CPT invariance of bound states in QED and production of muonium or antimuonium in electron or positron scattering by nuclei