The unified models of neutron-star matter are those that are based on the same microscopical theory for the inner and outer crust as well we for the core of a neutron star. Such models self-consistently determine phase boundaries between different neutron-star regions and self-consistently describe the matter properties that are needed for astrophysics. The unified models of neutron-star matter are improving with the progress of the physics of elementary particles, atomic nucleus, and supranuclear matter, with accumulation and improvement of numerical, experimental, and observational data.

In the 1990s, the unified Friedman-Pandharipande-Skyrme (FPS) model was widely used. In the 2000s, it was replaced by the SLy (Saclay-Lyon or Skyrme-Lyon) model. Now it is superseded by the family of BSk (Brussels-Skyrme) models.

We present an analytical description of the properties of matter that follow from the unified models of the third generation and are needed for modelling of the main processes in the crust and core of a neutron star. These properties include: the equation of state; the composition, sizes, and forms of the nuclei in the crust of the star; effective nucleon masses; number fractions of protons, electrons, and muons in the core. We demonstrate the usability of our results by applying them to calculations of macroscopic characteristics of neutron stars.

Reference: arXiv:1310.0049

Russian abstract

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