Properties and microscopic structures of dense stellar matter in RMF models

Abstract

Data tables on the equation of state (EOS) and microscopic structures for cold dense stellar matter with proton fractions $Y_p =0.01$-$0.65$ and baryon number densities $n_\text{b}=10^{-8}$-$2 \ \mathrm{fm}^{-3}$ are obtained adopting 13 different relativistic density functionals, i.e., NL3, PK1, PK1r, GM1, MTVTC, DD-LZ1, PKDD, DD-ME2, TW99, DD-MEX, DD-MEX1, DD-MEX2, and DD-MEY. The EOSs of dense stellar matter inside neutron stars with baryon number densities $n_\text{b}=7.6\times 10^{-11}$-$2 \ \mathrm{fm}^{-3}$ are obtained as well fulfilling $β$-stability condition. In general, the dense stellar matter exhibits droplet phase at $n_\mathrm{b}\lesssim 0.015\ \mathrm{fm}^{-3}$, while more exotic structures such as rods, slabs, tubes, and bubbles appear sequentially as density increases. The critical proton fractions $Y_p^\mathrm{drip}$ ($\approx 0.26$-0.31) for neutron drip are obtained, where neutron gas emerges outside of nuclei at $Y_p< Y_p^\mathrm{drip}$. For dense stellar matter at small densities ($n_\text{b}\lesssim 10^{-5} \ \mathrm{fm}^{-3}$) or large proton fractions ($n_\text{b}\lesssim0.1 \ \mathrm{fm}^{-3}$ and $Y_p\gtrsim Y_p^\mathrm{drip}$), the EOSs and microscopic structures are generally insensitive to the adopted density functionals. With the onset of neutron drip at $Y_p\lesssim Y_p^\mathrm{drip}$, the uncertainties emerge and peak at $n_\text{b} \approx 0.02 \ \mathrm{fm}^{-3}$ within the range $10^{-5} \lesssim n_\text{b}\lesssim0.1 \ \mathrm{fm}^{-3}$. At $n_\text{b}\gtrsim0.1 \ \mathrm{fm}^{-3}$, the dense stellar matter becomes uniform and muons eventually appear, where the uncertainties in the EOSs grow significantly.