Isospin constraints on the parametric coupling model for nuclear matter

We make use of isospin constraints to study the parametric coupling model and the properties of asymmetric nuclear matter. Besides the usual constraints for nuclear matter—the effective nucleon mass and the incompressibility at saturation density—and the neutron star constraints—maximum mass and radius—we study the properties related to the symmetry energy. These properties constrain the parameters of the model to a small range. We apply our results to study thermodynamic instabilities in the liquid-gas phase transition as well as neutron star configurations.