Wave function correction to the decay of pionium and heavy fermionium

U. Jentschura, G. Soff, V. Ivanov, S. G. Karshenboim

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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.

Original languageEnglish
Pages (from-to)351-356
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number6
Publication statusPublished - May 11 1998



  • Exotic atoms
  • Heavy fermionium
  • Mesoatoms
  • Pionium
  • Radiative corrections

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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