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- W2064718747 abstract "We construct an effective non-relativistic quantum field theory that describes bound states of ${ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}$ 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 $ensuremath{pi}ensuremath{pi}$ scattering lengths and to several low-energy constants that occur in the chiral Lagrangian. Recent predictions for the scattering lengths give $ensuremath{tau}=(2.9ifmmodepmelsetextpmfi{}0.1)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}15}mathrm{s}.$ This result may be confronted with ${ensuremath{pi}}^{+}{ensuremath{pi}}^{ensuremath{-}}$ lifetime measurements, like the one presently carried out at CERN." @default.
- W2064718747 created "2016-06-24" @default.
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- W2064718747 date "2001-06-07" @default.
- W2064718747 modified "2023-09-23" @default.
- W2064718747 title "Decays of the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>atom" @default.
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- W2064718747 doi "https://doi.org/10.1103/physrevd.64.016008" @default.
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