Decays of the π +π - atom

J. Gasser, V. E. Lyubovitskij, A. Rusetsky, A. Gall

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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 languageEnglish
Article number016008
Pages (from-to)160081-1600821
Number of pages1440741
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume64
Issue number1
Publication statusPublished - 2001
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

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].