Proton–electron mass ratio from HD<sup>+</sup> revisited

Patra, Sayan; Karr, J-Ph; Hilico, Laurent; Germann, Matthias; Korobov, V. I.; Koelemeij, J.C.J.

doi:10.1088/1361-6455/aa9b92

Cited by 10 publications

(14 citation statements)

References 26 publications

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“…The HD and HeH + molecules play important roles in the study of interstellar matter and star-and planet-forming regions. Outside the scope of astrophysics, accurate calculations for HD + are of interest for metrology, in connection with the development of molecular clocks, as well as for the physics of fundamental constants, namely the improvement of the electron/proton mass ratio (Patra et al 2018). Notably, HeH + has been detected very recently in space (Güsten et al 2019).…”

Section: Introductionmentioning

confidence: 99%

Benchmark Rovibrational Linelists and Einstein A-coefficients for the Primordial Molecules and Isotopologues

Amaral

Diniz

Jones

et al. 2019

ApJ

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Complete benchmark rovibrational energy linelists calculated for the primordial polar molecules of the universe, namely HD + , HD, and the HeH + isotopologues, with accuracy up to 10 −2 cm −1 for low-lying states, are presented. To allow for these calculations to be performed, new high-accuracy potential energy curves, which include the diagonal Born-Oppenheimer adiabatic corrections and the leading relativistic corrections, are determined. Also, a new approach for calculating non-adiabatic corrections involving an effective vibrational nuclear mass obtained based on the atoms-in-molecules theory is employed. The vibrational and rotational masses are taken as being different and dependent on the nuclear distance. Accurate dipole moment curves are calculated and used to generate lists of Einstein A-coefficients. The energy linelists and the sets of Einstein A-coefficients for HD are upgrades of previous calculations including quasibound states, while for HD + and HeH + and its isotopologues the present results represent significant improvement over the previous calculations. The results obtained here suggest that, with the inclusion of the non-adiabatic corrections, the accuracy limit at least for low-lying states might have been reached. Thus, further progress should involve accounting for even smaller effects such as the quantumelectrodynamics corrections. The present results represent the state-of-the-art of theoretical spectroscopy of the primordial polar molecules.

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Section: Introductionmentioning

confidence: 99%

Benchmark Rovibrational Linelists and Einstein A-coefficients for the Primordial Molecules and Isotopologues

Amaral

Diniz

Jones

et al. 2019

ApJ

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“…The sensitivity coefficients for the (v,L)=(0,2)→(8,3) transition are obtained by extrapolation of calculations up to v=4 level using a polynomial dependence on v of the 4 th degree. The value of the sensitivity to µ pe calculated by extrapolation is higher by 24% than the value reported in [9]. In addition, the sensitivity coefficients to different constants for selected atomic hydrogen and deuterium transitions are calculated using Eq.…”

Section: Energy Levels Sensitivities To Constants and Theoryspectroscopy Datamentioning

confidence: 86%

“…The accuracy was improved by taking into account corrections of order R ∞ α 5 [17,18], and second-order perturbation terms in the adiabatic approximation and corrections of order R ∞ α 6 [19], respectively. The recalculated frequencies of HD + transitions [9] that are exploited in this contribution have a theoretical accuracy of about 8 × 10 -12 .…”

Section: Energy Levels Sensitivities To Constants and Theoryspectroscopy Datamentioning

confidence: 99%

“…The experiments are described in [4][5][6][7]. The theoretical predictions for the frequencies of these HD + transitions and their absolute uncertainties are taken from [8,9] and shown in Table 2. For the transition (v,L)=(0,0)→(0,1), the experimental uncertainty is lower than the theoretical uncertainty.…”

Section: Table 2 Comparison Between Experimental and Theoretical Datamentioning

confidence: 99%

“…This contribution addresses the determination of fundamental constants by exploiting HD + spectroscopy data. On one hand, the values of theoretical frequencies of HD + transitions have been recalculated recently [9] by using CODATA 2014 recommended values of fundamental constants [1] and by taking into consideration additional QED correction terms. This contribution proposes a determination of the deuteron-proton mass ratio from a comparison between calculated and experimental frequencies of HD + .…”

Section: Introductionmentioning

confidence: 99%

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A determination of fundamental constants using HD⁺ ion and atomic hydrogen spectroscopy data

Constantin

2019

EPJ Web Conf.

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A determination of fundamental constants using HD+ ion spectroscopy data is discussed from comparisons between precision measurements and accurate theoretical predictions by taking into account recent measurements and updated CODATA values of the fundamental constants. The deuteron-proton mass ratio is determined with an uncertainty of 10-9. The ratio between the HD+ reduced mass and the electron mass is determined with an uncertainty of 7.3 × 10-10. The Rydberg constant, the proton-electron mass ratio and the deuteron-electron mass ratio are consistently determined with 10-9 , 10-6 , and 10-6 level uncertainties from an adjustment of the (v,L)=(0,0)→(0,1) and (v,L)=(0,2)→(8,3) HD+ ion transitions and of the (n,l,j,f)=1S1/2f=1→2S1/2f=1 atomic hydrogen transition. The result of the adjustment provides a test of the consistency of the two-body and three-body quantum electrodynamics energy level calculations for the atomic hydrogen and the HD+ ion.

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Prospect for precision quantum logic spectroscopy of vibrational overtone transitions in molecular oxygen ions

Wolf,

Heip,

Zawierucha

et al. 2024

New J. Phys.

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Precision spectroscopy has been the driving force for progress of our physical understanding and still is a promising tool for the investigation of new physics. Molecules offer transitions which allow tests that are not possible in atomic systems. However, usually precision spectroscopy of molecules is challenging due to the lack of cycling transitions for state preparation and state detection. For molecular ions, this obstacle can be overcome by quantum logic spectroscopy, where dissipation for state preparation and detection is provided by a co-trapped atomic ion exploiting the shared eigenstates of motion. Here, we propose a full quantum logic spectroscopy scheme for molecular oxygen ions and theoretically investigate the feasibility of quantum logic-assisted state detection and preparation. Furthermore, we provide coupling rates for a direct single-photon quadrupole excitation of a vibrational overtone transition that can serve as a sensitive reference for tests of a possible variation of the proton-to-electron mass ratio.

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Proton–electron mass ratio from HD⁺ revisited

Cited by 10 publications

References 26 publications

Benchmark Rovibrational Linelists and Einstein A-coefficients for the Primordial Molecules and Isotopologues

Benchmark Rovibrational Linelists and Einstein A-coefficients for the Primordial Molecules and Isotopologues

A determination of fundamental constants using HD⁺ ion and atomic hydrogen spectroscopy data

Prospect for precision quantum logic spectroscopy of vibrational overtone transitions in molecular oxygen ions

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Proton–electron mass ratio from HD+ revisited

Cited by 10 publications

References 26 publications

Benchmark Rovibrational Linelists and Einstein A-coefficients for the Primordial Molecules and Isotopologues

Benchmark Rovibrational Linelists and Einstein A-coefficients for the Primordial Molecules and Isotopologues

A determination of fundamental constants using HD+ ion and atomic hydrogen spectroscopy data

Prospect for precision quantum logic spectroscopy of vibrational overtone transitions in molecular oxygen ions

Contact Info

Product

Resources

About

Proton–electron mass ratio from HD⁺ revisited

A determination of fundamental constants using HD⁺ ion and atomic hydrogen spectroscopy data