Chiral dynamics and pionic 1s states of Pb and Sn isotopes

Abstract

We calculate shifts and width of 1s and 2p states of pions bound to heavy nuclei, using an optical potential with its s-wave interaction part based on chiral symmetry. This potential is constructed systematically in two-loop approximation of chiral perturbation theory. A proper treatment of the explicit energy dependence of this potential in conjunction with gauge invariance turns out to be very important. Results are reported for deeply bound pionic states in Pb and Sn isotopes in comparison with the GSI data

arXiv comment4 pages, contribution to PANIC02, Osaka, Japan, September 30 - October 4, 2002

References in corpus (3)

• In-medium chiral perturbation theory beyond the mean-field approximation
• Systematic calculation of s-wave pion and kaon self-energies in asymmetric nuclear matter
• Evidence for partial chiral symmetry restoration from pionic atoms

Cited by in corpus (13)

• Hadron properties in the nuclear medium
• The pion-nucleon $\sigma$ term from pionic atoms
• The in-medium isovector pi N amplitude from low energy pion scattering
• Equation of State for Hot and Dense Matter: $\sigma$-$\omega$-$\rho$ Model with Scaled Hadron Masses and Couplings
• QCD sum rules for rho mesons in vacuum and in-medium, re-examined
• Elastic scattering of low energy pions by nuclei and the in-medium isovector pi N amplitude
• Testing Chiral Dynamics in Pionic Atoms
• Testing in-medium $\pi N$ dynamics on pionic atoms
• Structure formation during phase transitions in strongly interacting matter
• S-wave pion condensation in symmetric nuclear matter
• Chiral Perturbation Theory in a Nuclear Background
• Overview and Perspectives in Nuclear Physics
• Low-energy QCD and hadronic structure