Optical Potentials near Fermi Surface by Nuclear Schwinger-Dyson Equations with Bare Vertex Approximation

Abstract

Optical potentials near the Fermi surface are calculated using the bare vertex nuclear Schwinger-Dyson method based on the σ- ω model, making use of results obtained on nuclear matter. Saturation and the liquid-vapor instability of nuclear matter are discussed. Contributions of mesons affected by nuclear medium in the optical potentials are clarified. The ω-meson contribution is prominent and originates in the difference between the transverse and longitudinal components of the ω-meson propagator. This difference vanishes without nuclear medium. As a result, the effective mass of nucleons increases rapidly near the Fermi energy, and the ω-meson dominance near the Fermi surface in the imaginary potential agrees with the result in the non-relativistic Hartree-Fock calculation.