### 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

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*64*(1), 160081-1600821. [016008].

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

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 64, no. 1, 016008, pp. 160081-1600821.

}

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.

UR - http://www.scopus.com/inward/record.url?scp=84862725938&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862725938&partnerID=8YFLogxK

M3 - Article

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 -