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 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
Cite this
Decays of the π +π - atom. / Gasser, J.; Lyubovitskij, V. E.; Rusetsky, A.; Gall, A.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 64, No. 1, 016008, 2001, p. 160081-1600821.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Decays of the π +π - atom
AU - Gasser, J.
AU - Lyubovitskij, V. E.
AU - Rusetsky, A.
AU - Gall, A.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=84862725938&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84862725938
VL - 64
SP - 160081
EP - 1600821
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 1
M1 - 016008
ER -