论文标题
磁场中的氢电离平衡
Hydrogen ionization equilibrium in magnetic fields
论文作者
论文摘要
我们评估了热力学平衡处磁化氢原子的分区函数和电离度，用于广泛的场强度，$ b \ 10^5 $ - $ 10^{12} $ 〜g。评估包括对任意数量的结合能的拟合公式，内部原子结构与跨磁场的质量运动之间的耦合以及所谓的extEDENTEDENTED状态（与电子从库隆孔移动的绑定状态）。在职业概率方法中处理了非理想的气体影响。我们还为零视野和高场的限制之间的界面对应关系提供了一般的数学表达式。这让我们以一种连续的方式评估原子分区函数，从采率扰动制度到非常强大的领域。在磁白矮星（MWD）的大气中发现的条件显示了结果，温度为$ t \ 5000 $ - $ 80000 $ 〜k，密度$ρ\ of 10^{ - 12} $ -12} $ 10^{ - 3} $ 〜g〜g〜cm $^3 $。我们的评估表明，由于强大MWD的大气中的磁场，气体电离显着降低。我们还发现，当前已知的热MWD的大气中可能存在分散状态，从而在最强的磁化大气中为分区功能做出了重大贡献。
We assess the partition function and ionization degree of magnetized hydrogen atoms at thermodynamic equilibrium for a wide range of field intensities, $B\approx 10^5$-$10^{12}$~G. Evaluations include fitting formulae for an arbitrary number of binding energies, the coupling between the internal atomic structure and the center-of-mass motion across the magnetic field, and the formation of the so-called decentered states (bound states with the electron shifted from the Coulomb well). Non-ideal gas effects are treated within the occupational probability method. We also present general mathematical expressions for the bound state correspondence between the limits of zero-field and high-field. This let us evaluate the atomic partition function in a continuous way from the Zeeman perturbative regime to very strong fields. Results are shown for conditions found in atmospheres of magnetic white dwarf stars (MWDs), with temperatures $T\approx 5000$-$80000$~K and densities $ρ\approx 10^{-12}$-$10^{-3}$~g~cm$^3$. Our evaluations show a marked reduction of the gas ionization due to the magnetic field in the atmospheres of strong MWDs. We also found that decentered states could be present in the atmospheres of currently known hot MWDs, giving a significant contribution to the partition function in the strongest magnetized atmospheres.
