Decays of the pi+ pi- atom

Abstract

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.

41 pages, 8 postscript figures, uses REVTEX style

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Cited by in corpus (53)

• Roy-Steiner-equation analysis of pion-nucleon scattering
• Spectrum and decays of kaonic hydrogen
• Ground-state energy of pionic hydrogen to one loop
• Chiral Perturbation Theory Beyond One Loop
• Cusps in K --> 3 pi decays
• First measurement of the ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• Radiative corrections in K --> 3 pi decays
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Investigation of a0-f0 mixing
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Cusps in K_L --> 3 pi decays
• Isospin breaking in the pion-nucleon scattering lengths
• Integrating out strange quarks in ChPT
• Determination of $\pi \pi$ scattering lengths from measurement of ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Lifetime of Kaonium
• The pion-nucleon scattering lengths from pionic deuterium
• DIRAC: A High Resolution Spectrometer for Pionium Detection
• Decay widths and energy shifts of pi pi and pi K atoms
• Leading Chiral Logarithms to the Hyperfine Splitting of the Hydrogen and Muonic Hydrogen
• Isospin violation in low-energy charged pion-kaon scattering
• Electromagnetic Corrections to Charged Pion Scattering at Low Energies
• Integrating out strange quarks in ChPT: terms at order p^6
• Detection of ${\pi }^{+}{\pi }^{-}$atoms with the DIRAC spectrometer at CERN
• Electromagnetic low-energy constants in ChPT
• Partial wave analysis of pbar-p to Lambdabar-Lambda
• Spectra and decays of pi pi and pi K atoms
• Pions in the Pionless Effective Field Theory
• Isospin violation in pion-kaon scattering
• Hadronic Atoms
• Explicit generating functional for pions and virtual photons
• The multilevel trigger system of the DIRAC experiment
• Direct calculation of the probability of pionium ionization in the target
• Chiral Perturbation Theory in a Nuclear Background
• New light on electromagnetic corrections to the scattering parameters obtained from experiments on pionium
• Masses and widths of scalar-isoscalar multi-channel resonances from data analysis
• Hadronic potentials from effective field theories
• Isospin-Breaking quark condensates in Chiral Perturbation Theory
• Exclusive photon-fusion production of even-spin resonances and exotic QED atoms in high-energy hadron collisions
• Breit Hamiltonian and QED Effects for Spinless Particles
• Size of Isospin Breaking in Charged K(L4) Decay
• First measurement of a long-lived ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Relations between SU(2)- and SU(3)-LECs in chiral perturbation theory
• Energy and decay width of the pi-K atom
• Kaonic atoms in QCD
• Spectrum and decays of hadronic atoms
• Short-Range Hard-Sphere Potential and Coulomb Interaction: Deser-Trueman Formula for Rydberg States of Exotic Atomic Systems
• Kaon-Nucleon scattering lengths from the experiments on kaonic hydrogen and kaonic deuterium
• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• Possible manifestation of the 2p pionium in particle physics processes
• Integrating out the heaviest quark in N--flavour ChPT
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles
• Including virtual photons in strong interactions