Tabulation of the bound-state energies of atomic hydrogen

Horbatsch, Marko; Hessels, E. A.

doi:10.1103/physreva.93.022513

Cited by 52 publications

(76 citation statements)

References 42 publications

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“…(7.1)) and ν 3/2 (Eq. (7.2)) are used to determine the fine structure splitting ∆ν [4,[43][44][45]. With a difference of -0.6 (2.8) kHz, our experimental result is in excellent agreement with the theoretical value and represents the most accurate optical determination of a fine structure splitting in atomic hydrogen.…”

Section: P Fine Structure Intervalsupporting

confidence: 75%

The Rydberg constant and proton size from atomic hydrogen

Beyer

Maisenbacher

Matveev

et al. 2017

Science

374

427

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ZusammenfassungDas Wasserstoffatom (H) stellt ein einzigartiges System für Tests der Quanten-Elektrodynamik dar. Aufgrund seiner einfachen Struktur und genauen theoretischen Beschreibung liefert es außerdem wichtige Daten für die Bestimmung der RydbergKonstante R ∞ und des Proton-Ladungsradius r p im Rahmen der globalen Anpassung fundamentaler Konstanten durch das Committee on Data for Science and Technology (CODATA). Im Jahre 2010 kam das sogenannte "proton size puzzle" auf, eine Diskrepanz von sieben Standardabweichungen zwischen CODATA und dem zehn mal genauer gemessenen Wert von r p in myonischem Wasserstoff (µ -p, [1, 2] AbstractThe hydrogen atom (H) is a unique system for tests of quantum electrodynamics (QED). Due to its simplicity and accurate theoretical description, it also provides key input data for the determination of the Rydberg constant R ∞ and the proton root mean square (r.m.s.) charge radius r p in the global adjustment of fundamental constants [4] by the Committee on Data for Science and Technology (CODATA). In the year 2010, the "proton size puzzle" emerged, which refers to a discrepancy of seven standard deviations between CODATA and a ten times more accurate measurement of r p in muonic hydrogen (µ -p, [1, 2]). Proposed solutions for this puzzle cover a wide range of scenarios, up to physics beyond the standard model [3]. This thesis reports on a novel scheme for high resolution spectroscopy of dipole allowed 2S -nP transitions in H, using a cryogenic beam of H atoms that are prepared in the meta-stable 2S F =0 1/2 state by state selective optical excitation. Such measurements can be used for a new determination of R ∞ and r p from H spectroscopy, shedding new light on the "proton size puzzle". The scheme has been applied to spectroscopy of the 2S-4P transition first, yielding: These values are as accurate as the ones determined from the aggregate world data of precision H spectroscopy (15 measurements) that enter the CODATA adjustment. While a discrepancy of 3.8 combined standard deviations is found to the latter, the presented results agree with the measurements in µ -p. The 2S-4P experiment is essentially unaffected by the systematic effects dominating the uncertainties in the previous most precise determinations of R ∞ using dipole forbidden two photon transitions in H. Instead, the main systematic effects are the first order Doppler effect, canceled by the use of an active fiber-based retroreflector (AFR) developed in this thesis, and line shape distortions due to quantum interference (QI) of neighboring atomic resonances. The latter effect has come to the attention of the precision spectroscopy community only recently [8,9]. Apparent QI line shifts have been studied experimentally, yielding the first direct observation in precision spectroscopy of largely separated atomic resonances. The observed shifts of up to ± 51 kHz are six times larger than the proton size discrepancy for the 2S-4P transition. They are brought under control by a suitable line shape model function, derived and...

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Section: P Fine Structure Intervalsupporting

confidence: 75%

The Rydberg constant and proton size from atomic hydrogen

Beyer

Maisenbacher

Matveev

et al. 2017

Science

374

427

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“…The so-called proton radius puzzle appears to be resolved. The puzzle emerged in 2010 when a muonic hydrogen measurement of the n = 2 Lamb shift [1] found that the very accurately measured proton charge radius R E = 0.8409(4) fm (or using a more conservative, model-independent analysis R E = 0.8413 (15) fm) disagreed with previous measurements of regular atomic hydrogen intervals [2], quoted in 2014 as R E = 0.8751(61) fm, as well as the state-of-the-art Mainz e − p scattering experiment (MAMI) [3,4] with a result of which links atomic units to SI [7,12], and settling on it and on the proton charge radius opens the possibility for further tests of quantum electrodynamics in atomic hydrogen. In its most recent update CODATA has adopted the small (muonic) radius value of 0.8414 (19) fm [13].…”

Section: Introductioncontrasting

confidence: 79%

Properties of the Sachs electric form factor of the proton on the basis of recent e − p scattering experiments and hydrogen spectroscopy

Horbatsch

2020

Physics Letters B

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Recently published data on the Sachs electric form factor by the PRad collaboration (Nature 575, 147-151) are analyzed to investigate their consistency with the known proton charge radius from muonic and electronic hydrogen spectroscopy, as well as theoretical predictions from dispersively improved chiral perturbation theory. It is shown that the latter is fully consistent with the data, and pointers are given how future e − p scattering experiments can lead to an improvement of our knowledge of the form factor in the low-momentum-transfer regime. * marko@yorku.ca arXiv:1912.01735v4 [nucl-ex] 1 Feb 2020 R E = 0.879(8) fm. The radius R E enters the spectroscopic analysis via the slope of the Sachs electric form factor at zero momentum transfer squared Q 2 . The fact that hydrogen spectroscopy and e − p scattering are determining the same quantity is documented well in the literature [5].Since then, numerous efforts were undertaken to resolve the puzzle: (i) measurements on muonic deuterium [6] combined with the isotope shift, (ii) a fluorescence-based determination of the regular hydrogen 2S − 4P fine structure intervals [7], and (iii) a high-accuracy measurement of the Lamb shift in regular hydrogen [8] all pointed to a confirmation of the muonic hydrogen result; on the other hand (iv) a high-precision re-measurement of the 1S − 3S interval by the Paris group [9] continued to support the original higher value for the charge radius; this latter work is being contested by current fluorescence-detection work in Garching, which is achieving substantially higher precision.In more recent e − p scattering experiments both the Mainz group through a different method, based on intermediate-state radiation (ISR) [10] found consistency with the muonic charge radius (albeit with insufficient accuracy to make a strong case, so far), as did the PRad collaboration [11] which employed a gas jet target and measured projectile deflections directly.The situation still has the attention of both the spectroscopy and scattering communities, but the originally spread ideas that there could be new physics, i.e., that muons and electrons might behave differently have been damped by these developments.The significance of resolving the puzzle is not just academic, i.e., eventually, lattice gauge calculations within quantum chromodynamics will be able to compute at least certain aspects of the electric and magnetic form factors, and it will be good to have a solid understanding of the charge and current distributions of the proton based on experimental data. In addition, the determination of the charge radius leads to a significant change in the Rydberg constant

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“…[17] has a precision of 9 kHz, and the discrepancy between this measurement and the interval calculated [28] using the new, more accurate measurement of the proton charge radius from muonic hydrogen [19,20] is 13 kHz. The ongoing Lamb-shift measurement by our group has a precision goal of a few kHz, and, therefore, these shifts will have to be considered very carefully.…”

Section: The H(n=2) Lamb Shiftmentioning

confidence: 99%

Interference between two resonant transitions with distinct initial and final states connected by radiative decay

2017

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The resonant line shape from driving a transition between two states, |a and |b , can be distorted due to a quantum-mechanical interference effect involving a resonance between two different states, |c and |d , if |c has a decay path to |a and |d has a decay path to |b . This interference can cause a shift of the measured resonance, despite the fact that the two resonances do not have a common initial or final state. As an example, we demonstrate that such a shift affects measurements of the atomic hydrogen 2S 1/2 -to-2P 1/2 Lamb-shift transition due to 3S-to-3P transitions if the 3S 1/2 state has some initial population.

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Tabulation of the bound-state energies of atomic hydrogen

Cited by 52 publications

References 42 publications

The Rydberg constant and proton size from atomic hydrogen

The Rydberg constant and proton size from atomic hydrogen

Properties of the Sachs electric form factor of the proton on the basis of recent e − p scattering experiments and hydrogen spectroscopy

Interference between two resonant transitions with distinct initial and final states connected by radiative decay

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Tabulation of the bound-state energies of atomic hydrogen

Cited by 52 publications

References 42 publications

The Rydberg constant and proton size from atomic hydrogen

The Rydberg constant and proton size from atomic hydrogen

Properties of the Sachs electric form factor of the proton on the basis of recent e − p scattering experiments and hydrogen spectroscopy

Interference between two resonant transitions with distinct initial and final states connected by radiative decay

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Product

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Properties of the Sachs electric form factor of the proton on the basis of recent e − p scattering experiments and hydrogen spectroscopy