Chiral Dynamics of Deeply Bound Pionic Atoms
Nuclear Theory
2009-11-07 v1
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.
Cite
@article{arxiv.nucl-th/0207090,
title = {Chiral Dynamics of Deeply Bound Pionic Atoms},
author = {E. E. Kolomeitsev and N. Kaiser and W. Weise},
journal= {arXiv preprint arXiv:nucl-th/0207090},
year = {2009}
}
Comments
preprint ECT*-02-16, 4 pages, 3 figures