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.
Relativistic corrections to the Pionium Lifetime
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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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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.