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Chiral Dynamics of Deeply Bound Pionic Atoms
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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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Cited by 1 Pith paper
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Pion properties in isospin-asymmetric nuclear matter using in-medium chiral perturbation theory
In isospin-asymmetric nuclear matter, the three pions acquire distinct in-medium masses, wave function renormalizations, and decay constants, computed at two-loop order with in-medium chiral perturbation theory.
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