Correlations between critical parameters and bulk properties of nuclear matter

The present work starts by providing a clear identification of correlations between critical parameters (T-c, Pc,rho(c)) and bulk quantities at zero temperature of relativistic mean-field models (RMF) presenting third-and fourth-order self-interactions in the scalar field sigma. Motivated by the nonrelativistic version of this RMF model, we show that the effective nucleon mass (M*) and the incompressibility (K-o), at the saturation density, are correlated with T-c, P-c, and rho(c), as well as the binding energy and the saturation density itself. We verify the agreement of results with previous theoretical ones regarding different hadronic models. Concerning recent experimental data of the symmetric nuclear matter critical parameters, our study allows a prediction of T-c, P-c, and rho(c) compatible with such values, by combining them, through the correlations found, with previous constraints related to M* and K-o. An improved RMF parametrization, which better agrees with experimental values for T-c, is also indicated.