A. Hasegawa et al., OPTICAL POTENTIALS NEAR FERMI-SURFACE BY NUCLEAR SCHWINGER-DYSON EQUATIONS WITH BARE VERTEX APPROXIMATION, Progress of theoretical physics, 93(4), 1995, pp. 757-770
Optical potentials near the Fermi surface are calculated using the bar
e vertex nuclear Schwinger-Dyson method based on the sigma-omega model
, malting use of results obtained on nuclear matter. Saturation and th
e liquid-vapor instability of nuclear matter are discussed. Contributi
ons of mesons affected by nuclear medium in the optical potentials are
clarified: The omega-meson contribution is prominent and originates i
n the difference between the transverse and longitudinal components of
the omega-meson propagator. This difference vanishes without nuclear
medium. As a result, the effective mass of nucleons increases rapidly
near the Fermi energy, and the omega-meson dominance near the Fermi su
rface in the imaginary potential agrees with the result in the non-rel
ativistic Hartree-Fock calculation.