Surface structure of neutron stars with high magnetic fields

I. Fushiki, E. Gudmundsson, C. Pethick
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引用次数: 65

Abstract

The equation of state of cold dense matter in strong magnetic fields is calculated in the Thomas-Fermi and Thomas-Fermi-Dirac approximations. For use in the latter calculation, a new expression is derived for the exchange energy of the uniform electron gas in a strong magnetic field. Detailed calculations of the density profile in the surface region of a neutron star are described for a variety of equations of state, and these show that the surface density profile is strongly affected by the magnetic field, irrespective of whether or not matter in a magnetic field has a condensed state bound with respect to isolated atoms. It is also shown that, as a consequence of the field dependence of the screening potential, magnetic fields can significantly increase nuclear reaction rates.
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强磁场中子星的表面结构
用汤玛斯-费米近似和汤玛斯-费米-狄拉克近似计算了强磁场下冷致密物质的态方程。为便于后一种计算,导出了均匀电子气体在强磁场中的交换能的新表达式。本文用各种状态方程对中子星表面区域的密度分布进行了详细的计算,结果表明,无论物质在磁场中是否具有相对于孤立原子的凝聚态束缚,表面密度分布都受到磁场的强烈影响。结果还表明,由于筛选电位的场依赖性,磁场可以显著提高核反应速率。
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