Lamb shift in hydrogen

This value is two times larger than the result cited above in Table 3.6, and taken at face value shifts the value of the IB Lamb shift in hydrogen by 7 kHz. However, the authors of [123] show that extrapolation of their numerical data to Za) —> 0 leads to the value of Beo twice as large as the anal3dic result for Bgo in [109, 110]. Clearly any phenomenological conclusions in this situation are premature, and the problem of corrections of order a Za) "m requires... 

Then we easily obtain the weak interaction contribution to the Lamb shift in hydrogen [56]... 

We used the same value of A in Subsect. 5.1.3 for calculation of the correction to the Lamb shift in hydrogen generated by the radiative insertions in the proton hne. Due to the logarithmic dependence of this correction on A small changes of its value do not affect the result for the proton line contribution to the Lamb shift. 

P — 2S Lamb shift in hydrogen will be reduced to a comparable level, it would be possible to determine the proton radius with relative error smaller that 3 X 10 or with absolute error about 2 x 10 fm, to be compared with the current accuracy of the proton radius measurements producing the results with error on the scale of 0.01 fm. 

The latter presents the largest sources of uncertainty in the theory of the muo-nium hfs interval, positronium energy spectrum and the specific nuclear-structure-independent difference for the hfs in the helium ion. The former are crucially important for the theory of the Lamb shift in hydrogen and medium-Z ions, for the difference in Eq. (2) applied to the Lamb shift and hyperfine structure in hydrogen and helium ion, and for the bound electron (/-factor. In the case of high-Z, the Lamb shift, (/-factor and hyperfine structure require an exact treatment of the two-loop correction. 

Historically, measurements of the IS Lamb shift in hydrogen have constituted the most accurate tests of bound-state QED. However, these recently calculated terms are obscured in hydrogen by the experimental error in the proton charge radius. This is because a non-QED correction to the Dirac levels due to the finite size of the nucleus is included in the Lamb shift, and the uncertainty in this term for the proton is comparable to the two-loop correction in the IS state. In He+, the error introduced by the experimental uncertainty in the alpha particle radius is relatively much smaller [14,15], making Lamb shift measure-... 

Three-Loop Slope of the Dirac Form Factor and the IS Lamb Shift in Hydrogen... 

We now present our result for the IS Lamb shift in hydrogen. A detailed description of all the corrections that we include to obtain the final result as well as references to the original papers are given in [8], The final value for the lS -shift strongly depends on the value of the proton charge radius ... 

T. Stohlker et al. The Is Lamb Shift in Hydrogen-like Uranium Measured on Cooled, Decelerated Ion Beams, submitted to Phys. Rev. Lett. 

Laser Spectroscopy of the 2S Lamb Shift in Hydrogenic Silicon... 

This paper describes the progress of a laser resonance experiment which aims to measure the Lamb shift in hydrogenic silicon with an accuracy that will allow it to test the two-loop binding corrections mentioned above. This in turn should allow the viability of calculable frequency standards, based on transitions in lower-Z one-electron systems such as hydrogen and He+, to be assessed. Following a review of some theoretical contributions to hydrogenic energy levels, the details of the laser resonance experiment are outlined. 

Towards a Precision Measurement of the Lamb Shift in Hydrogen-Like Nitrogen... 

In this paper, we summarise our progress towards Is Lamb shift measurements on medium Z hydrogen-like ions produced in an electron beam ion trap (EBIT), where the X-ray emission is free from the problems of satellite contamination and Doppler shifts. In this context, we note that a measurement of the Is Lamb shift in hydrogen-like Mg11+ has been performed at the Livermore EBIT using a quasimonolithic crystal setup, and reaching a precision of 13% for the Lamb shift dominated by counting statistics [14]. With our setup, the... 

The fast beam separated oscillatory field technique (SOF) provides a method through which one can obtain a series of lines whose widths are less than the natural line width with a good understanding of the factors which determine the line shape and the line center. This paper summarizes a separated oscillatory field measurement of the Lamb shift in hydrogen.[1]... 

Using the theoretical work of Erickson /12/ for the 2P-nD interval and either the experimental value of the 2S Lamb-shift in hydrogen /13/ or the theoretical value of the 2S Lamb-shift in deuterium (= 1059.229 MHz) /14/, we can deduce six independent determinations of the Rydberg constant. These values are in excellent agreement each with other. Our final result is ... 

Experiments with hydrogen atoms are currently very precise and, amazingly, their precision continues to increase [1,2,3,4,5,6]. Currently, the most accurate experimental value for the 15 Lamb shift in hydrogen is [6] ... 

Table 5. Different contributions to the Lamb shift in hydrogen-hke helium He (in...

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