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The proton, deuteron and triton masses can be determined relative to the electron mass via rovibrational spectroscopy of molecular hydrogen ions. This has to occur via comparison of the experimentally measured transition frequencies and the…

原子物理 · 物理学 2025-05-13 Stephan Schiller , Jean-Philippe Karr

The possible use of high-resolution rovibrational spectroscopy of the hydrogen molecular ions H + 2 and HD + for an independent determination of several fundamental constants is analyzed. While these molecules had been proposed for…

原子物理 · 物理学 2017-02-20 J. -Ph Karr , L Hilico , Jeroen Koelemeij , Vladimir Korobov

We present a comprehensive analysis of all currently available high-accuracy frequency measurements of rotational and rovibrational transitions in the hydrogen molecular ion HD$^+$. Our analysis utilises the theoretically calculated…

原子物理 · 物理学 2023-05-11 Jean-Philippe Karr , Jeroen C. J. Koelemeij

High resolution spectroscopy of the hydrogen atom takes on particular importance in the new SI, as it allows to accurately determine fundamental constants, such as the Rydberg constant and the proton charge radius. Recently, the second most…

The simplest molecules in nature, molecular hydrogen ions in the form of H2+ and HD+, provide an important benchmark system for tests of quantum electrodynamics in complex forms of matter. Here, we report on such a test based on a frequency…

原子物理 · 物理学 2016-02-03 J. Biesheuvel , J. -Ph. Karr , L. Hilico , K. S. E. Eikema , W. Ubachs , J. C. J. Koelemeij

We give a pedagogical description of the method to extract the charge radii and Rydberg constant from laser spectroscopy in regular hydrogen (H) and deuterium (D) atoms, that is part of the CODATA least-squares adjustment (LSA) of the…

The nature of the theory of circular Rydberg states of hydrogenlike ions allows highly-accurate predictions to be made for energy levels. In particular, uncertainties arising from the problematic nuclear size correction which beset low…

原子物理 · 物理学 2010-03-30 U. D. Jentschura , P. J. Mohr , J. N. Tan

Accurate spectroscopic measurements of calculable systems provide a powerful method for testing the Standard Model and extracting fundamental constants. Recently, spectroscopic measurements of finite nuclear size effects in normal and…

原子物理 · 物理学 2023-06-06 Y. van der Werf , K. Steinebach , R. Jannin , H. L. Bethlem , K. S. E. Eikema

The systematic shifts of the transition frequencies in the molecular hydrogen ions are of relevance to ultra-high-resolution radio-frequency, microwave and optical spectroscopy of these systems, performed in ion traps. We develop the…

原子物理 · 物理学 2015-06-16 Dimitar Bakalov , Stephan Schiller

Determination of the proton charge radius by different methods has produced an inconsistency. The most precise value (from spectroscopy of muonic hydrogen) strongly disagrees with three less accurate values (from spectroscopy of ordinary…

高能物理 - 唯象学 · 物理学 2015-03-05 Savely G. Karshenboim

Comparison of precision frequency measurements to quantum electrodynamics (QED) predictions for Rydberg states of hydrogen-like ions can yield information on values of fundamental constants and test theory. With the results of a calculation…

原子物理 · 物理学 2009-02-02 U. D. Jentschura , P. J. Mohr , J. N. Tan , B. J. Wundt

We propose to use diatomic molecular ions to search for strongly enhanced effects of variation of fundamental constants. The relative enhancement occurs in transitions between nearly degenerate levels of different nature. Since the trapping…

化学物理 · 物理学 2019-09-25 L. F. Pasteka , A. Borschevsky , V. V. Flambaum , P. Schwerdtfeger

High-precision laser spectroscopy of atomic hydrogen has led to an impressive accuracy in tests of bound-state quantum electrodynamics (QED). At the current level of accuracy many systematics have to be studied very carefully and only…

原子物理 · 物理学 2022-09-21 J. J. Krauth , L. S. Dreissen , C. Roth , E. L. Gründeman , M. Collombon , M. Favier , K. S. E. Eikema

We reconsider the calculation of rovibrational transition frequencies in hydrogen molecular ions. Some previously neglected contributions, such as the deuteron polarizability, are included into consideration in comparison with our previous…

原子物理 · 物理学 2021-09-15 Vladimir I. Korobov , Jean-Philippe Karr

We consider the application of a basic principle of quantum theory, the tracelessness of a certain class of hamiltonians, to the precision spectroscopy of the molecular hydrogen ions. We show that it is possible to obtain the spin-averaged…

原子物理 · 物理学 2018-08-29 S. Schiller , V. I. Korobov

Precision spectroscopy of the hydrogen molecule is a test ground of quantum electrodynamics (QED), and may serve for determination of fundamental constants. Using a comb-locked cavity ring-down spectrometer, for the first time, we observed…

原子物理 · 物理学 2018-04-18 L. -G. Tao , A. -W. Liu , K. Pachucki , J. Komasa , Y. R. Sun , J. Wang , S. -M. Hu

Quasi-forbidden electronic transitions in atoms and quasi-degenerate vibronic transitions in molecules serve as powerful probes of hypothetical temporal variations of fundamental constants. Computation of the sensitivity of a transition to…

化学物理 · 物理学 2025-11-17 Carsten Zülch , Konstantin Gaul , Robert Berger

We describe the current status of high-precision ab initio calculations of the spectra of molecular hydrogen ions (H_2^+ and HD^+) and of two experiments for vibrational spectroscopy. The perspectives for a comparison between theory and…

原子物理 · 物理学 2017-02-20 B. Roth , J. Koelemeij , S. Schiller , L. Hilico , J. -Ph. Karr , V. I. Korobov , D. Bakalov

The theoretical treatment of Rydberg states in one-electron ions is facilitated by the virtual absence of the nuclear-size correction, and fundamental constants like the Rydberg constant may be in the reach of planned high-precision…

原子物理 · 物理学 2012-07-03 B. J. Wundt , U. D. Jentschura

The so-called proton radius puzzle (the current discrepancy of proton radii determined from spectroscopic measurements in ordinary versus muonic hydrogen) could be addressed via an accurate measurement of the Rydberg constant, because the…

原子物理 · 物理学 2023-12-27 Ulrich D. Jentschura , Dylan C. Yost
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