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 language | English |
|---|---|
| Article number | 016008 |
| Journal | Physical Review D |
| Volume | 64 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2001 |
| Externally published | Yes |
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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 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 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.
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 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.
UR - http://www.scopus.com/inward/record.url?scp=0034885501&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034885501&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.64.016008
DO - 10.1103/PhysRevD.64.016008
M3 - Article
AN - SCOPUS:0034885501
VL - 64
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 1
M1 - 016008
ER -