Thomas-Fermi Calculations of Atoms and Matter in Magnetic Neutron Stars: Effects of Higher Landau Bands

Astronomy and Astrophysics – Astronomy

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Atomic Processes, Dense Matter, Equation Of State, Stars: Magnetic Fields, Stars: Neutron

Scientific paper

We calculate the equation of state for cold dense matter in high magnetic fields in the Thomas-Fermi approximation, taking all Landau levels into account. Total energies and chemical potentials for atoms and matter are also calculated, and we present detailed profiles of the electron density as a function of the distance from the atomic nucleus for various values of the magnetic field strength and the total matter density. The profiles show a Landau shell structure, which for iron atoms at low pressure is particularly pronounced for magnetic fields of order 1011 G. In compressed matter this structure is reflected in a high compressibility when the density is such that electrons at the boundary of a unit cell start to occupy a new Landau band. This leads to an oscillatory behavior of the density gradient as a function of depth in the surface layers of magnetic neutron stars.

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