Decays of the $\pi^{+}\pi^{-}$ atom

We construct an effective non-relativistic quantum field theory that describes bound states of pi+ pi- pairs and their hadronic decays. We then derive a general expression for the lifetime of the ground state at next-to-leading order in isospin breaking. Chiral perturbation theory allows one to rela...

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Detalles Bibliográficos
Autores principales: Gasser, J, Lyubovitskij, V E, Rusetsky, A G, Gall, A
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.64.016008
http://cds.cern.ch/record/491432
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author Gasser, J
Lyubovitskij, V E
Rusetsky, A G
Gall, A
author_facet Gasser, J
Lyubovitskij, V E
Rusetsky, A G
Gall, A
author_sort Gasser, J
collection CERN
description We construct an effective non-relativistic quantum field theory that describes bound states of pi+ pi- pairs and their hadronic decays. We then derive a general expression for the lifetime of the ground state at next-to-leading order in isospin breaking. Chiral perturbation theory allows one to relate the decay rate to the two S-wave pi pi scattering lengths and to several low-energy constants that occur in the chiral Lagrangian. Recent predictions for the scattering lengths give tau = (2.9 \pm 0.1) * 10^{-15} sec. This result may be confronted with pi+ pi- lifetime measurements, like the one presently carried out at CERN.
id cern-491432
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
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spelling cern-4914322019-09-30T06:29:59Zdoi:10.1103/PhysRevD.64.016008http://cds.cern.ch/record/491432engGasser, JLyubovitskij, V ERusetsky, A GGall, ADecays of the $\pi^{+}\pi^{-}$ atomParticle Physics - PhenomenologyWe construct an effective non-relativistic quantum field theory that describes bound states of pi+ pi- pairs and their hadronic decays. We then derive a general expression for the lifetime of the ground state at next-to-leading order in isospin breaking. Chiral perturbation theory allows one to relate the decay rate to the two S-wave pi pi scattering lengths and to several low-energy constants that occur in the chiral Lagrangian. Recent predictions for the scattering lengths give tau = (2.9 \pm 0.1) * 10^{-15} sec. This result may be confronted with pi+ pi- lifetime measurements, like the one presently carried out at CERN.hep-ph/0103157BUTP-2001-03oai:cds.cern.ch:4914322001-03-14
spellingShingle Particle Physics - Phenomenology
Gasser, J
Lyubovitskij, V E
Rusetsky, A G
Gall, A
Decays of the $\pi^{+}\pi^{-}$ atom
title Decays of the $\pi^{+}\pi^{-}$ atom
title_full Decays of the $\pi^{+}\pi^{-}$ atom
title_fullStr Decays of the $\pi^{+}\pi^{-}$ atom
title_full_unstemmed Decays of the $\pi^{+}\pi^{-}$ atom
title_short Decays of the $\pi^{+}\pi^{-}$ atom
title_sort decays of the $\pi^{+}\pi^{-}$ atom
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.64.016008
http://cds.cern.ch/record/491432
work_keys_str_mv AT gasserj decaysofthepipiatom
AT lyubovitskijve decaysofthepipiatom
AT rusetskyag decaysofthepipiatom
AT galla decaysofthepipiatom

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