Chiral restoration from pionic atoms?

Abstract

We evaluate widths and shifts of pionic atoms using a theoretical microscopical potential in which the pion decay constant $f_{\pi }$ is changed by an in--medium density dependent one ($f_{\pi }(\rho )$), predicted by different partial Chiral restoration calculations. We show that the results obtained for shifts and widths are worse than if this modification were not implemented. On the other hand, we argue that in microscopic many body approaches for the pion selfenergy, based on effective Lagrangians, the mechanisms responsible for the change of $f_{\pi }$ in the medium should be automatically incorporated. Therefore, the replacement of $f_{\pi }$ by $f_{\pi }(\rho )$ in the many body derivation of the microscopic potential would be inappropriate.

10 pages, new comments and references added

References in corpus (5)

• Vector Manifestation of the Chiral Symmetry
• Systematic calculation of s-wave pion and kaon self-energies in asymmetric nuclear matter
• Evidence for partial chiral symmetry restoration from pionic atoms
• Fate of Vector Dominance in the Effective Field Theory
• Determination of pi-N scattering lengths from pionic hydrogen and pionic deuterium data

Cited by in corpus (8)

• Chiral Dynamics of Deeply Bound Pionic Atoms
• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• Formation of η'(958)-mesic nuclei and axial U_A(1) anomaly at finite density
• Pion scattering poles and chiral symmetry restoration
• Testing Chiral Dynamics in Pionic Atoms
• In-medium modification of the isovector pion-nucleon amplitude
• Pionic decay of Lambda Hypernuclei in a Continuum Shell Model
• Sigma meson mass and width at finite density