Unified neutron star EOSs and neutron star structures in RMF models

In the framework of the Thomas-Fermi approximation, we systematically study the EOSs and microscopic structures of neutron star matter in a vast density range with nb≈ 10-10-2 fm-3, where various covariant density functionals are adopted, i.e., those with nonlinear self couplings(NL3,PK1, TM1, GM1, MTVTC) and density-dependent couplings(DD-LZ1, DDME-X, PKDD, DDME2, DD2, TW99). It is found that the EOSs generally coincide with each other at nb■10-4fm-3and 0.1 fm-3■nb■0.3 fm-3, while in other density regions they are sensitive to the effective interactions between nucleons. By adopting functionals with a larger slope of symmetry energy L, the curvature parameter Ksymand neutron drip density generally increases, while the droplet size, proton number of nucleus, core-crust transition density, and onset density of non-spherical nuclei, decrease.All functionals predict neutron stars with maximum masses exceeding the two-solar-mass limit,while those of DD2, DD-LZ1, DD-ME2, and DDME-X predict optimum neutron star radii according to the observational constraints. Nevertheless, the corresponding skewness coefficients J are much larger than expected, while only the functionals MTVTC and TW99 meet the start-of-art constraints on J. More accurate measurements on the radius of PSR J0740 + 6620 and the maximum mass of neutron stars are thus essential to identify the functional that satisfies all constraints from nuclear physics and astrophysical observations. Approximate linear correlations between neutron stars’ radii at M = 1.4M⊙and 2M⊙, the slope L and curvature parameter Ksymof symmetry energy are observed as well, which are mainly attributed to the curvature-slope correlations in the functionals adopted here. The results presented here are applicable for investigations of the structures and evolutions of compact stars in a unified manner.