Chiral dynamics of deeply bound pionic atoms

We present and discuss a systematic calculation, based on two-loop chiral perturbation theory, of the pion-nuclear s-wave optical potential. A proper treatment of the explicit energy dependence of the off-shell pion self-energy together with (electromagnetic) gauge invariance of the Klein-Gordon equation turns out to be crucial. Accurate data for the binding energies and widths of the 1s and 2p levels in pionic Pb205 and Pb207 are well reproduced without need for a notorious 'missing repulsion' in the pion-nuclear s-wave optical potential. The connection with the in-medium change of the pion decay constant is clarified