Importance of the non-resonant corrections for the modern Lamb shift measurements in the multicharged hydrogen-like ions

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Abstract
The level of accuracy reached in the recent Lamb shift measurements for the multicharged ions requires the introduction of the non-resonant corrections which take into account the deviation of the natural line profiles from the simple Lorentz form. The frequency omega max, corresponding to the maximum of the frequency distribution, differs from the energy difference Delta E: omega max,= Delta E+ delta , where delta is the non-resonant correction. The value of delta , calculated for the process 2s+ gamma to 2P3/2 to 1s+ gamma ' used recently for the Lamb shift measurement in hydrogenic phosphorus, is delta =-4.47*10-5 eV, while the measured transition energy is: Delta E=EZP3/2-E2s=2.23133(12) eV. This means that the correction delta becomes noticeable. However, the 2s-2P1/2 energy shift measured in Li-like uranium is not affected by this correction.
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