Elsevier

Nuclear Physics A

Volume 587, Issue 4, 22 May 1995, Pages 747-757
Nuclear Physics A

Electromagnetic corrections to the threshold pion-pion charge exchange amplitude and the lifetime of pionium

https://doi.org/10.1016/0375-9474(95)00050-BGet rights and content

Abstract

We give the electromagnetic corrections (due to the mass difference between π± and π0 and the Coulomb potential) to the s-wave threshold parameters in the coupled two-channel (π+π, π0π0) system. We estimate that the uncertainty in this correction to the threshold charge-exchange amplitude (which determines the lifetime of pionium, i.e. the π+π bound state) is rather less than the uncertainty in the prediction of chiral perturbation theory for this quantity. We conclude that a measurement of the lifetime for the decay of pionium with an accuracy of about 10% would provide a significant test of the chiral-perturbation theory prediction.

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