We consider the hyperfine structure, the atomic spectrum, and the decay channels of the bound μ+μ- system (dimuonium). The annihilation lifetimes of low-lying atomic states of the system lie in the 10-12 s range. The decay rates could be measured by detection of the decay products (high-energy photons or electron-positron pairs). The hyperfine-structure splitting of the dimuonic system and its decay rate are influenced by electronic vacuum polarization effects in the far timelike asymptotic region. This constitutes a previously unexplored kinematic regime. We evaluate next-to-leading-order radiative corrections to the decay rate of low-lying atomic states. We also obtain order α5mμ corrections to the hyperfine splitting of the 1S and 2S levels.
U. D. Jentschura et al., "Bound µ+µ- system," Physical Review A - Atomic, Molecular, and Optical Physics, vol. 56, no. 6, pp. 4483-4495, American Physical Society (APS), Dec 1997.
The definitive version is available at https://doi.org/10.1103/PhysRevA.56.4483
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