Decays of the π+π-atom

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

Research output: Contribution to journalArticle

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 state at next-toleading 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
JournalPhysical Review D
Volume64
Issue number1
DOIs
Publication statusPublished - 2001
Externally publishedYes

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life (durability)
decay
wave scattering
decay rates
S waves
atoms
perturbation theory
ground state
predictions
scattering
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Decays of the π+π-atom. / Gasser, J.; Lyubovitskij, V. E.; Rusetsky, A.; Gall, A.

In: Physical Review D, Vol. 64, No. 1, 016008, 2001.

Research output: Contribution to journalArticle

Gasser, J, Lyubovitskij, VE, Rusetsky, A & Gall, A 2001, 'Decays of the π+π-atom', Physical Review D, vol. 64, no. 1, 016008. https://doi.org/10.1103/PhysRevD.64.016008
Gasser, J. ; Lyubovitskij, V. E. ; Rusetsky, A. ; Gall, A. / Decays of the π+π-atom. In: Physical Review D. 2001 ; Vol. 64, No. 1.
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