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Relativistic corrections to the Pionium Lifetime

Xinwei Kong, Finn Ravndal

hep-pharXiv:hep-ph/9905539

Abstract

Next to leading order contributions to the pionium lifetime are considered within non-relativistic effective field theory. A more precise determination of the coupling constants is then needed in order to be consistent with the relativistic pion-pion scattering amplitude which can be obtained from chiral perturbation theory. The relativistic correction is found to be 4.1% and corresponds simply to a more accurate value for the non-relativistic decay momentum.

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