Decay widths and energy shifts of pi pi and pi K atoms

Abstract

We calculate the S-wave decay widths and energy shifts for pi pi and pi K atoms in the framework of QCD+QED. The evaluation - valid at next-to-leading order in isospin symmetry breaking - is performed within a non-relativistic effective field theory. The results are of interest for future hadronic atom experiments.

Version to be published in Phys. Lett. B. Four references added, correlation matrix for pi K scattering lengths updated, uncertainty of Delta E^h_1 in table 2 adapted. 14 pages, 1 figure

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• Radiative corrections in K --> 3 pi decays
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Cusps in K_L --> 3 pi decays
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• The pion-nucleon scattering lengths from pionic deuterium
• First $\pi K$ atom lifetime and $\pi K$ scattering length measurements
• Partial wave analysis of pbar-p to Lambdabar-Lambda
• Spectra and decays of pi pi and pi K atoms
• The expansion by regions in pi K scattering
• Evidence for $\pi K$-atoms with DIRAC
• Hadronic Atoms
• Isospin odd pi K scattering length
• Observation of ${\pi }^{-}{K}^{+}$ and ${\pi }^{+}{K}^{-}$ atoms
• Measurement of the $\pi K$ atom lifetime and the $\pi K$ scattering length
• Energy and decay width of the pi-K atom
• Spectrum and decays of hadronic atoms
• Kaonic atoms in QCD
• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles