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Considering the effects of charge screening, we propose a new numericalrecipe within the framework of Thomas-Fermi approximation, where the propertiesof nuclear matter throughout a vast density range can be obtainedself-consistently. Assuming spherical and cylindrical approximations for theWigner-Seitz cell, typical nuclear matter structures (droplet, rod, slab, tube,bubble, and uniform) are observed. We then investigate the EOSs and microscopicstructures of nuclear matter with both fixed proton fractions and$\beta$-equilibration, where two covariant density functionals DD-LZ1 andDD-ME2 are adopted. Despite the smaller slope $L$ of symmetry energy obtainedwith the functional DD-LZ1, the curvature parameter $K_\mathrm{sym}$ is muchlarger than that of DD-ME2, which is attributed to the peculiardensity-dependent behavior of meson-nucleon couplings guided by the restorationof pseudo-spin symmetry around the Fermi levels in finite nuclei. Consequently,different mass-radius relations of neutron stars are predicted by the twofunctionals. Different microscopic structures of nonuniform nuclear matter areobtained as well, which are expected to affect various physical processes inneutron star properties and evolutions.

Unified nuclear matter EOSs constrained by the in-medium balance in density-dependent covariant density functionals