Unified nuclear matter equations of state constrained by the in-medium balance in density-dependent covariant density functionals

Xia, C.-J.*; Sun, B. Y.*; Maruyama, Toshiki  ; Lon, W.-H.*; Li, A.*

Assuming spherical and cylindrical approximations for the Wigner-Seitz cell, typical nuclear matter structures (droplet, rod, slab, tube, bubble, and uniform) are observed. We then investigate the equations of state and microscopic structures of nuclear matter with both fixed proton fractions and beta equilibration, where two covariant density functionals, DD-LZ1 and DD-ME2, are adopted. Despite the smaller slope of symmetry energy obtained with the functional DD-LZ1, the curvature parameter is much larger than that of DD-ME2. Consequently, different mass-radius relations of neutron stars are predicted by the two functionals. Different microscopic structures of non-uniform nuclear matter are obtained as well, which are expected to affect various physical processes in neutron star properties and evolutions.