Self-energy correction to the E1 transition amplitudes in hydrogen-like ions

2024/12/02 by M. G. Kozlov, M. Y. Kaygorodov, Kozlov, M. G. +5
Physics and Astronomy · #Atomic and Molecular Physics #Advanced Frequency and Time Standards #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.2412.01231

Abstract

We present calculations of the self-energy correction to the E1 transition amplitudes in hydrogen-like ions, performed to all orders in the nuclear binding strength parameter. Our results for the 1s-2p_1/2 transition for the hydrogen isoelectronic sequence show that the perturbed-orbital part of the self-energy correction provides the dominant contribution, accounting for approximately 99% of the total correction for this transition. Detailed calculations were performed for ns-n'p and np-n'd transitions in H-like caesium. We conclude that the perturbed-orbital part remains dominant also for other ns-n'p transitions, whereas for the np-n'd matrix elements this dominance no longer holds. Consequently, the self-energy corrections for the np-n'd one-electron matrix elements cannot be well reproduced by means of effective QED operators constructed for energy levels.

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