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Chiral Dynamics of Deeply Bound Pionic Atoms

E. E. Kolomeitsev·N. Kaiser·W. Weise
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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 ^{205}Pb and ^{207}Pb are well reproduced, and the notorious "missing repulsion" in the pion-nuclear s-wave optical potential is accounted for. The connection with the in-medium change of the pion decay constant is clarified.

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E. E. Kolomeitsev, N. Kaiser, W. Weise. 2002-07-31. Chiral Dynamics of Deeply Bound Pionic Atoms. https://doi.org/10.1103/physrevlett.90.092501

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