Chiral Dynamics of Deeply Bound Pionic Atoms
E. É. KolomeitsevECT, Villa Tambosi, I-38050 Villazzano (Trento), ItalyNorbert KaiserPhysik-Department, Technische Universität München, D-85747 Garching, GermanyW. WeiseECT*, Villa Tambosi, I-38050 Villazzano (Trento), Italy
2003en
ABI
Abstract
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 205Pb and 207Pb 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.
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Cited by 40 references