Wave Function Correction to the Decay of Pionium and Heavy Fermionium
The decay rates of heavy atomic systems consisting of a particle and its own antiparticle are influenced by the probability density ("charge density", square of the wave function) at the origin. In heavy systems, the one-loop electronic vacuum polarization induces a correction to the charge density (at the origin) of relative order α/π. The correction is analyzed in this Letter, and results are provided for dimuonium (μ+μ,- atom), pionium (π+π- atom), and the hypothetical heavy tauonium (τ+τ- atom). We investigate the correction in the limit of strong binding and discuss the applicability of the effective charge approach to derive leading logarithmic asymptotics.
U. D. Jentschura et al., "Wave Function Correction to the Decay of Pionium and Heavy Fermionium," Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 241, no. 6, pp. 351-356, Elsevier, May 1998.
The definitive version is available at http://dx.doi.org/10.1016/S0375-9601(98)00147-9
Keywords and Phrases
Exotic Atoms; Heavy Fermionium; Mesoatoms; Pionium; Radiative Corrections
International Standard Serial Number (ISSN)
Article - Journal
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