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arXiv 0705.3033astro-phphysics.atom-phquant-ph
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氢原子的双光子跃迁与宇宙复合

Two-photon transitions in hydrogen and cosmological recombination

J. Chluba, R. A. Sunyaev

摘要:

研究了氢原子ns -> 1 s和nd -> 1 s跃迁的双光子过程。对于n<=20,我们提供了简单的解析拟合公式来描述双光子发射轮廓的非共振部分。将这些与级联项的解析形式相结合,可以简单而准确地描述整个双光子衰变谱,它只涉及几个中间态的总和。我们表明,级联项自然导致近洛伦兹形状的双光子轮廓附近的共振。然而,由于量子电动力学修正,双光子发射光谱偏离显着的洛伦兹形状在非常遥远的翅膀的共振。我们调查的距离的双光子轮廓接近洛伦兹和讨论的作用的干扰项。然后,我们分析了如何从洛伦兹形状的双光子配置文件的偏差影响宇宙学氢复合的动力学。由于在这种情况下,光子从莱曼-α共振逃逸起着至关重要的作用,我们集中在莱曼-α线附近的双光子校正。我们的计算表明,由于高壳层(n>2)的额外双光子过程而引起的电离历史的变化可能不会达到π能级。对于保守的假设,在红移z~1160处,我们得到了一个修正DN_e/N_e~-0.4%。这与最近另一项研究的结果在数值上相似;然而,导致这一结论的物理学是相当不同的。特别是,我们对有效双光子衰减率的计算产生了显著不同的值,其中共振和非共振项的相消干涉在此背景下起着至关重要的作用(删节)

英文摘要:

We study the two-photon process for the transitions ns --> 1s and nd --> 1s in hydrogen up to large n. For n<=20 we provide simple analytic fitting formulae to describe the non-resonant part of the two-photon emission profiles. Combining these with the analytic form of the cascade-term yields a simple and accurate description of the full two-photon decay spectrum, which only involves a sum over a few intermediate states. We demonstrate that the cascade term naturally leads to a nearly Lorentzian shape of the two-photon profiles in the vicinity of the resonances. However, due to quantum-electrodynamical corrections, the two-photon emission spectra deviate significantly from the Lorentzian shape in the very distant wings of the resonances. We investigate up to which distance the two-photon profiles are close to a Lorentzian and discuss the role of the interference term. We then analyze how the deviation of the two-photon profiles from the Lorentzian shape affects the dynamics of cosmological hydrogen recombination. Since in this context the escape of photons from the Lyman-alpha resonance plays a crucial role, we concentrate on the two-photon corrections in the vicinity of the Lyman-alpha line. Our computations show that the changes in the ionization history due to the additional two-photon process from high shell (n>2) likely do not reach the percent-level. For conservative assumptions we find a correction DN_e/N_e~-0.4% at redshift z~1160. This is numerically similar to the result of another recent study; however, the physics leading to this conclusion is rather different. In particular, our calculations of the effective two-photon decay rates yield significantly different values, where the destructive interference of the resonant and non-resonant terms plays a crucial role in this context (abridged)

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