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.
Light Fermion Finite Mass Effects in Non-relativistic Bound States
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abstract
We present analytic expressions for the vacuum polarization effects due to a light fermion with finite mass in the binding energy and in the wave function at the origin of QED and (weak coupling) QCD non-relativistic bound states. Applications to exotic atoms, \Upsilon (1s) and t\bar{t} production near threshold are briefly discussed.
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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.