Density dependent parametrization models: Formalism and applications

Abstract

In this work we derive a formalism to incorporate asymmetry and temperature effects in the Brown-Rho (BR) scaled Lagrangian model in a mean field theory. The Lagrangian density discussed in this work requires less parameters than the usual models with density dependent couplings. We also present the formalism with the inclusion of the eight lightest baryons, two lightest leptons, \ensuremath{\beta} equilibrium and charge neutrality in order to apply the BR scaled model to the study of neutron stars. The results are again compared with the ones obtained from another density dependent parametrization model. The role played by the rearrangement term at $T=0$ for nuclear or neutron star matter and at finite temperature is investigated. The BR scaled model is shown to be a good tool in studies involving density dependent effective masses and in astrophysics applications.