Lamb shift and fine structure at n=2 in a hydrogenlike muonic atom with the nuclear spin I=0

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
Evgeny Yu. Korzinin ◽  
Valery A. Shelyuto ◽  
Vladimir G. Ivanov ◽  
Savely G. Karshenboim
1974 ◽  
Vol 52 (12) ◽  
pp. 1082-1089 ◽  
Author(s):  
A. R. W. McKellar ◽  
H. L. Welsh

Spectra due to the Van der Waals complex (H2)2 have been obtained with greatly improved resolution, and analogous spectra of (D2)2 and H2–D2 have been observed. The experiments were conducted with an absorption path of 110 m in a multiple traversal cell at temperatures between 16 and 21 K. The spectra are manifested as fine structure accompanying the single and double H2 (or D2) transitions in the hydrogen (or deuterium) collision induced fundamental band. The observed structure for (H2)2 and H2–D2 can be unambiguously assigned to rotational transitions of the complex governed by the selection rule Δl = ± 1, ± 3, where l is the rotational quantum number of the complex. A detailed analysis must include anisotropic force effects, and is not given here. The spectrum of (D2)2 is complicated, not only by anisotropic force effects, but also by mutual perturbations between the rotational levels of the upper states of corresponding single and double D2 transitions; for this reason, the assignments suggested are somewhat uncertain. An interesting intensity alternation apparent in part of the (D2)2 spectrum is explained as a simple effect of nuclear spin statistics in the pseudodiatomic molecule (D2)2.


In an earlier paper on the fine structures of the visible lines in the arc spectra of bromine and iodine an attempt was made to estimate the nuclear spin of iodine, and a tentative value of 9/2 was proposed. The iodine arc lines were excited by a high frequency electrodeless discharge in pure iodine vapour and examined with a silvered Fabry-perot interferometer. The fine structures in the arc lines are small, and as the patterns are highly complex and the individual components not very sharp, interpretation was difficult. It was concluded with certainty that the nuclear spin was at least equal to 5/2, but one line in particular suggested a value of 9/2. This was indefinite, and in view of the uncertainty a thorough examination of both the arc and spark spectra of iodine has been undertaken. A preliminary notice has already appeared. The first spark spectrum can be more easily studied than the arc spectrum, since the structure are on a very much bigger scale and more complete resolution can be attained. The present work is concerned with the spark lines excited in a hollow cathode discharge. Fine structures in iodine spark lines were first recorded long ago by Wood and Kimura who excited the lines in a Geissler tube and examined them with a transmission echelon. Murakawa attempted to analyse the fine structure data, but as the source and instrument employed by Wood and Kimura were not able to give the high resolution attained here, the deductions made from these data, although generally correct, are uncertain and require further examination; for many of the line structures are much more complex than as reported by these earlier observers.


No fine structure has yet been recorded in any of the lines of the spectra of arsenic. The present paper gives an account of the fine structures of the majority of the visible lines of As II. This spectrum is very rich in strong lines and has been observed here in the region λλ 6400-4300 with high resolving power. The gross structure multiplet analysis of As II has been made by K. R. Rao, and the fine structure observations recorded here support this analysis. The terms expected and found in this spectrum are shown in Table I. All lines involving the 4 s 2 . 4 p 2 configuration lie in the deep ultra-violet region; therefore this configuration will be disregarded in the present investigation. According to the vector coupling scheme of White and Ritsehl it will be expected that the 4 s 2 . 4 p . 5 s configuration will show wide hyperfine structure separations, since it involves an unpaired penetrating s electron; this is actually verified here with some modification. As the 4 s 2 . 4 p . 5 p configuration has no penetrating s electron, only narrow structures are to be expected, but this, however, is not observed, since structures occur in this configuration which are of the same order as those found in the previous case. This has important theoretical significance and will be discussed later. The intervals in the 4 s 2 . 4 p . 5 s triplet terms which are 3 P 0 — 3 P 1 = 397 cm. -1 and 3 P 1 — 3 P 2 = 2382 cm. -1 show that the electron coupling is by no means pure (LS) since the interval ratio deviates widely from the Landé interval rule. In the 4 s 2 . 4 p . 5 p and in the 4 s 2 . 4 p 2 terms the deviations are much less marked. This incomplete (LS) coupling affects the structure and will be considered later.


1971 ◽  
Vol 27 (9) ◽  
pp. 599-602 ◽  
Author(s):  
Gerald G. Ohlsen ◽  
J. L. McKibben ◽  
G. P. Lawrence ◽  
P. W. Keaton ◽  
D. D. Armstrong

2013 ◽  
Vol 88 (12) ◽  
Author(s):  
Evgeny Yu. Korzinin ◽  
Vladimir G. Ivanov ◽  
Savely G. Karshenboim

The present work was undertaken with the object of testing the fine structure intensity formulæ deduced by Hill. Up to the present very few intensity measurements have been made on the fine structures arising from nuclear spin. The principal difficulty in such measurements arises from the smallness of the structures which are usually incompletely resolved by the interferometers employed. The use of the interferometer in any event necessitates careful corrections for the instrumental intensity distribution. Schüler and Keyston have made photometric determinations of the intensity ratios in the fine structures of two Cdl lines and have verified the intensity rules for these lines. An inherent difficulty in the examination with a FabryPerot interferometer of Cdl structures lies in the presence of an intense evei isotope line within the pattern due to the nuclear spin of the odd isotopes The even isotope component contributes 77% of the intensity of the line and the remaining 23% is distributed amongst the members of the nuclear spin multiplet. The authors do not describe their method of coping with this difficulty which, judging from the experience of the present writers, must have been serious.


1979 ◽  
Vol 40 (C1) ◽  
pp. C1-27-C1-29
Author(s):  
H. G. Berry ◽  
R. DeSerio ◽  
A. E. Livingston
Keyword(s):  

1974 ◽  
Vol 9 (6) ◽  
pp. 2345-2349 ◽  
Author(s):  
H. G. Berry ◽  
R. M. Schectman
Keyword(s):  

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