Critical parameters of consistent relativistic mean-field models

In the present work, the critical temperature, critical pressure, and critical density, known as the critical parameters related to the liquid-gas phase transition are calculated for 34 relativistic mean-field models, which were shown to satisfy nuclear matter constraints in a comprehensive study involving 263 models. The compressibility factor was calculated and all 34 models present values lower than the one obtained with the van der Waals equation of state. The critical temperatures were compared with experimental data and just two classes of models can reach values close to them. A correlation between the critical parameters and the incompressibility was obtained.

Figure 1

Pressure as a function of density, both in units of their respective critical values, for the CRMF parametrizations at $T=T_c$.

Figure 2

Critical temperature of CRMF parametrizations compared with experimental data (circles) collected from the following references: Karnaukhov 1997 [39], Natowitz et al. 2002 [40], Karnaukhov et al. 2003 [41], Karnaukhov et al. 2004 [42], Karnaukhov et al. 2006 [43], Karnaukhov 2008 [44], and Elliott et al. 2013 [45]. The parametrization families are indicated as in Fig. 1.

Figure 3

Critical (a) pressure and (b) density for all CRMF parametrizations, compared with the corresponding experimental values extracted from Ref. [45].

Figure 4

Critical (a) temperature, (b) pressure, and (c) density of CRMF parametrizations. Circles: nonlinear model. Squares: density dependent model.