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Determination of $\pi\pi$ scattering lengths from measurement of $\pi^+\pi^-$ atom lifetime
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abstract
The DIRAC experiment at CERN has achieved a sizeable production of $\pi^+\pi^-$ atoms and has significantly improved the precision on its lifetime determination. From a sample of 21227 atomic pairs, a 4% measurement of the S-wave $\pi\pi$ scattering length difference $|a_0-a_2| = (.0.2533^{+0.0080}_{-0.0078}|_\mathrm{stat}.{}^{+0.0078}_{-0.0073}|_\mathrm{syst})M_{\pi^+}^{-1}$ has been attained, providing an important test of Chiral Perturbation Theory.
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Hadronic atoms
A pedagogical survey of non-relativistic effective field theory for hadronic atoms, restating the known next-to-leading-order formulas for the pionic hydrogen energy shift and width.
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