EFFECTIVE NUCLEON MASS, INCOMPRESSIBILITY, AND 3RD-ORDER DERIVATIVE OF THE NUCLEAR SATURATION CURVE IN THE RELATIVISTIC MEAN-FIELD THEORY WITH VECTOR-MESON SELF-INTERACTION

The effective nucleon mass M(0)(), incompressibility K, and the third -order derivative K' of the nuclear saturation curve are studied by us ing the relativistic mean field model which has both the scalar and th e vector mesons self-interactions. The vector meson self-interaction m akes it possible to fit K and M(0)() with a positive quartic coeffici ent in the scalar meson potential and to give a soft EOS at high densi ty. The vector meson self-interaction makes K' smaller, if we fix K(gr eater than or similar to 200 MeV) and M(0)(). The Coulomb coefficient K-c of nucleus incompressibility is also calculated. The parameters o f the model are adjusted to fit the empirical values of K and K-c and, at the same time, to reproduce M(0)() = 0.6M which is consistent wit h the empirical spin-orbit potential. The obtained EOS with K = 300 Me V is successful in accounting for the symmetry properties and is very close to the results of the Dirac-Brueckner-Hartree-Fock calculation.