  We investigate the equation of state (EOS) for nuclear matter, within the
framework of the Relativistic Hartree Fock (RHF) theory, with special emphasis
on the role of the Pauli coupling of the vector meson $\rho$ to the nucleon
vis-a-vis the eventual softening of the EOS as revealed through a substantial
reduction of the incompressibility parameter ($K_0$) for symmetric nuclear
matter.
