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arXiv · 1606.01508

The higher-order black-body radiation shift of atomic energy-levels

Wanping Zhou·Xuesong Mei·Haoxue Qiao
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Abstract

The one-loop correction and two-loop contribution to black-body radiation (BBR) shift are restudied. The S-matrix approach and nonrelativistic quantum electrodynamics (NRQED) are adopted in finite temperature case. The relativistic correction to one-loop BBR-shift has a $(Zα)^{2}αT^2/m$-order contribution. In the two-loop case, the pure thermal (real) photon part is too tiny to be detected; while the corrections induced by the thermal and virtual mixing diagram are at $(Zα)^{2}α^2 T^2/m$ order. We calculate the relativistic correction to one-loop BBR-shift in the ground state of hydrogen and ionized helium, which is larger than the leading term. As the leading term is proportional to $T^4/Z^4$. We estimate these higher-order corrections may be larger than the leading term, when the system is a highly ionized (large $Z$) or a cold (small $T$) one.

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Wanping Zhou, Xuesong Mei, Haoxue Qiao. 2017-03-13. The higher-order black-body radiation shift of atomic energy-levels. https://doi.org/10.1088/1361-6455%2Faa5b20

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