Chiral Dynamics of Deeply Bound Pionic Atoms

Details Chiral Dynamics of Deeply Bound Pionic Atoms Chiral Dynamics of Deeply Bound Pionic Atoms

2002-07-31

arxiv.org/abs/nucl-th/0207090v1

Phys.Rev.Lett. 90 (2003) 092501

Physics

Nuclear Physics

Nuclear Theory

preprint ECT*-02-16, 4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.90.092501

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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