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Chiral dynamics of deeply bound pionic atoms.
E E Kolomeitsev1, N Kaiser, W Weise
1ECT, Villa Tambosi, I-38050 Villazzano (Trento), Italy.
Physical Review Letters
|April 12, 2003
Summary
This study calculates the pion-nuclear s-wave optical potential using chiral perturbation theory. Results accurately reproduce pionic lead atom data without requiring "missing repulsion".
Area of Science:
- Nuclear Physics
- Quantum Chromodynamics
Background:
- The pion-nuclear s-wave optical potential is essential for understanding pion-nucleus interactions.
- Previous models often required a hypothetical "missing repulsion" to match experimental data.
Purpose of the Study:
- To systematically calculate the pion-nuclear s-wave optical potential using two-loop chiral perturbation theory.
- To investigate the role of energy dependence and gauge invariance in the Klein-Gordon equation.
- To explain experimental data for pionic lead isotopes without invoking
Main Methods:
- Two-loop chiral perturbation theory calculation.
- Incorporation of explicit energy dependence for the off-shell pion self-energy.
- Ensuring (electromagnetic) gauge invariance within the Klein-Gordon equation framework.
Main Results:
- Accurate reproduction of binding energies and widths for 1s and 2p levels in pionic 205Pb and 207Pb.
- Demonstration that the
Conclusions:
- The developed theoretical framework successfully explains experimental data for pionic lead isotopes.
- The calculation clarifies the relationship between the pion-nuclear optical potential and in-medium modifications of the pion decay constant.