Chiral Perturbation Theory in a Nuclear Background

Abstract

We propose a novel way to formulate Chiral Perturbation Theory in a nuclear background, characterized by a static, non-uniform distribution of the baryon number that describes the finite nucleus. In the limiting case of a uniform distribution, the theory reduces to the well-known zero-temperature in-medium ChPT. The proposed approach is used to calculate the self-energy of the charged pion in the background of the heavy nucleus at O(p^5) in the chiral expansion, and to derive the leading terms of the pion-nucleus optical potential.

42 pages, Latex, 4 Postscript figures

References in corpus (4)

• Ground-state energy of pionic hydrogen to one loop
• Chiral Dynamics of Deeply Bound Pionic Atoms
• Density dependence of the s-wave repulsion in pionic atoms
• Chiral dynamics and pionic 1s states of Pb and Sn isotopes

Cited by in corpus (9)

• Modern Theory of Nuclear Forces
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Chiral condensate at finite density using chiral Ward identity
• Pion properties at finite nuclear density based on in-medium chiral perturbation theory
• Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
• Does nuclear matter bind at large $N_c$?
• The s-wave pion-nucleus optical potential
• The effect of Kaon Condensation on Quark-Antiquark Condensate in Dense Matter