Abstract
We construct an effective non-relativistic quantum field theory that describes bound states of π + π - pairs and their hadronic decays. We then derive a general expression for the lifetime of the ground stare at next-to-leading order in isospin breaking. Chiral perturbation theory allows one to relate the decay rate to the two S-wave ππ scattering lengths and to several low-energy constants that occur in the chiral Lagrangian. Recent predictions for the scattering lengths give τ= (2.9±0.1) × 10 -15 s. This result may be confronted with π +π - lifetime measurements, like the one presently carried out at CERN.
| Original language | English |
|---|---|
| Article number | 016008 |
| Pages (from-to) | 160081-1600821 |
| Number of pages | 1440741 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 64 |
| Issue number | 1 |
| Publication status | Published - 2001 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
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Cite this
Gasser, J., Lyubovitskij, V. E., Rusetsky, A., & Gall, A. (2001). Decays of the π +π - atom. Physical Review D - Particles, Fields, Gravitation and Cosmology, 64(1), 160081-1600821. [016008].