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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 rovibrational transition frequencies of molecular hydrogen ions (MHI) can be accurately computed using ab initio nonrelativistic quantum electrodynamics. A subset of the fundamental constants are required input. We analyze how, once…

原子物理 · 物理学 2025-05-12 J. -Ph Karr , S. Schiller , V. I. Korobov , S. Alighanbari

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 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

We review recent experiments on HD$^+$ spectroscopy. The reduced proton-deuteron mass to electron mass ratio, $\mu_{pd}/m_e$, is inferred from the comparison of theory and experiment. Theoretical issues related to the calculations of the…

原子物理 · 物理学 2022-09-07 Vladimir I. Korobov

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

We investigate the leading systematic effects in ro-vibrational spectroscopy of the molecular hydrogen ions H2+ and HD+, in order to assess their potential for the realization of optical clocks that would be sensitive to possible variations…

原子物理 · 物理学 2017-02-20 Jean-Philippe Karr

Theoretical investigations of the hyperfine structure of the hydrogen molecular ion (one electron and two protons) are discussed. The nuclear spin-rotation interaction has been found to be of the same sign as in the hydrogen molecule and…

原子物理 · 物理学 2008-02-03 J. F. Babb

The discrepancy between the measured Lamb shift in muonic hydrogen and expectations from electron-proton scattering and regular hydrogen spectroscopy has become known as the proton radius puzzle, whose most "mundane" resolution requires a…

高能物理 - 唯象学 · 物理学 2017-04-05 Richard J. Hill

Precision spectroscopy on cold molecules can potentially enable novel tests of fundamental laws of physics and alternative determination of some fundamental constants. Realizing this potential requires a thorough understanding of the…

原子物理 · 物理学 2013-05-29 Dimitar Bakalov , Vladimir I. Korobov , Stephan Schiller

Spectroscopy of hydrogen can be used for a search into physics beyond the Standard Model. Differences between the absorption spectra of H$_2$ as observed at high redshift and those measured in the laboratory can be interpreted in terms of…

原子物理 · 物理学 2017-08-23 Wim Ubachs , Jeroen C. J. Koelemeij , Kjeld S. E. Eikema , Edcel J. Salumbides

High-precision measurements of the proton radius from laser spectroscopy of muonic hydrogen demonstrated up to six standard deviations smaller values than obtained from electron-proton scattering and hydrogen spectroscopy. The status of…

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

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

Recently we reported a high precision optical frequency measurement of the (v,L):(0,2)->(8,3) vibrational overtone transition in trapped deuterated molecular hydrogen (HD+) ions at 10 mK temperature. Achieving a resolution of 0.85…

原子物理 · 物理学 2017-02-20 J. Biesheuvel , J. -Ph. Karr , L. Hilico , K. S. E. Eikema , W. Ubachs , J. C. J. Koelemeij

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 "proton radius puzzle" was recently solved by reducing the four-standard deviation discrepancy between the results for electronic hydrogen ($H$) and muonic hydrogen ($\mu H$) atoms to $3.3$ value. The value of the root-mean-square…

原子物理 · 物理学 2021-03-30 D. Solovyev , T. Zalialiutdinov , A. Anikin

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

The major goal of the high-precision studies of ro-vibrational states in the hydrogen molecular ions is to provide an alternative way for improving the electron-to-proton mass ratio, or the atomic mass of electron. By now the complete set…

原子物理 · 物理学 2008-04-16 V. I. Korobov
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