Article

# Determination of $\pi\pi$ scattering lengths from measurement of $\pi^+\pi^-$ atom lifetime

09/2011;
Source: arXiv

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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8 Oct 2012

### Keywords

4% measurement

Chiral Perturbation Theory

DIRAC experiment