Relativistic corrections to the Pionium Lifetime

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.Comment: 5 pages, Latex. Includes corrections based on a more precise matching to the pion-pion scattering amplitude from chiral perturbation theor