A Relativistic Mean Field Theory for Nuclear Matter with σ,δ Meson Couplings at T ≠ 0

Effects of temperature in hadron dense matter are studied within a generalized relativistic mean field approach based on the naturalness of the various coupling constants of the theory. The lagrangian density of the formulation contains the fundamental baryon octet and nonlinear self interaction components of the σ and δ meson fields coupled to the baryons and to the ω and ρ meson fields. We adjust the model parameters to describe bulk static properties of ordinary nuclear matter and neutron stars, in the framework of the Sommerfeld approximation, at the T ≠ 0 domain. Through integration of the TOV equations we obtain standard plots for the mass and mass-radius of protoneutron stars as a function of the central density and temperature. Our results indicate an absolute value for the protoneutron star limiting mass at low and intermediate temperature regimes