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Spectra and decays of \(\pi \pi\) and \(\pi K\) atoms

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Abstract.

We describe the spectra and decays of \(\pi^ + \pi^-\) and \(\pi^\pm K^\mp\) atoms within a non-relativistic effective field theory. The evaluations of the energy shifts and widths are performed at next-to-leading order in isospin symmetry breaking. We provide general formulae for all S-states, and discuss the states with angular momentum one in some detail. The prediction for the lifetime of the \(\pi^\pm K^\mp\) atom in its ground state yields \(\tau_{10} = (3.7\pm0.4)\cdot10^{-15}\) s.

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  1. Institute for Theoretical Physics, University of Bern, Sidlerstr. 5, 3012, Bern, Switzerland

    J. Schweizer

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Received: 9 May 2004, Published online: 23 July 2004

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Schweizer, J. Spectra and decays of \(\pi \pi\) and \(\pi K\) atoms. Eur. Phys. J. C 36, 483–501 (2004). https://doi.org/10.1140/epjc/s2004-01959-1

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