The Finite Range Thomas Fermi Equation of State

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We develop a Finite-Range Thomas Fermi model for supernova and neutron star matter based on nuclear model of Seyler and Blanchard, and Myers and Swiatecki. We have extended the nuclear model to finite temperature and a Wigner-Seitz geometry. Also we extended the model to include additional density dependent interactions to better fit known nuclear compressibilities. We evaluated nuclear surface properties using the semi infinite iterface. We calculated the coexistence curve of nuclear matter for two-phase equilibrium. Furthermore we have calculated energy, radii and surface thickness of closed shell nuclei in which we could neglect the spin-orbit interactions. We examined beta equilibrium matter to model the neutron star crust. We find the phase transition from nuclei with neutron gas to uniform nuclear matter occurs when the density is about 0.5 times the nuclear saturation density.

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