Sub-Doppler frequency metrology in HD for test of fundamental physics

Weak transitions in the (2,0) overtone band of the HD molecule at $\lambda = 1.38 \, \mu$m were measured in saturated absorption using the technique of noise-immune cavity-enhanced optical heterodyne molecular spectroscopy. Narrow Doppler-free lines were interrogated with a spectroscopy laser locked to a frequency comb laser referenced to an atomic clock to yield transition frequencies [R(1) = $217\,105\,181\,895\,(20)$ kHz; R(2) = $219\,042\,856\,621\,(28)$ kHz; R(3) = $220\,704\,304\,951\,(28)$ kHz] at three orders of magnitude improved accuracy. These benchmark values provide a test of QED in the smallest neutral molecule, and open up an avenue to resolve the proton radius puzzle, as well as constrain putative fifth forces and extra dimensions.Comment: 5 pages, 4 figure

Lamb dip of a Quadrupole Transition in H2_2

The saturated absorption spectrum of the hyperfine-less S(0) quadrupole line in the (2-0) band of H$_2$ is measured at $\lambda=1189$ nm, using the NICE-OHMS technique under cryogenic conditions (72~K). It is for the first time that a Lamb dip of a molecular quadrupole transition is recorded. At low (150-200 W) saturation powers a single narrow Lamb dip is observed, ruling out an underlying recoil doublet of 140 kHz. Studies of Doppler-detuned resonances show that the red-shifted recoil component can be made visible for low pressures and powers, and prove that the narrow Lamb dip must be interpreted as the blue recoil component. A transition frequency of 252\,016\,361\,164\,(8) kHz is extracted, which is off by -2.6 (1.6) MHz from molecular quantum electrodynamical calculations therewith providing a challenge to theory.Comment: 4 pages, 5 figure

Lamb-peak spectrum of the HD (2-0) P(1) line

A saturation spectroscopy measurement of the P(1) line of the ($2-0$) band in HD is performed in a sensitive cavity-enhanced optical setup involving frequency comb calibration. The spectral signature is that of a Lamb-peak, in agreement with a density-matrix model description involving 9 hyperfine components and 16 crossover resonances of $\Lambda$-type. Comparison of the experimental spectra with the simulations yields a rovibrational transition frequency at 209,784,242,007 (20) kHz. Agreement is found with a first principles calculation in the framework of non-adiabatic quantum electrodynamics within 2$\sigma$, where the combined uncertainty is fully determined by theory

Precision Measurement of Vibrational Quanta in Tritium Hydride (HT)

Saturated absorption measurements of transitions in the (2-0) band of radioactive tritium hydride (HT) are performed with the ultra-sensitive NICE-OHMS intracavity absorption technique in the range 1460-1510 nm. The hyperfine structure of rovibrational transitions of HT, in contrast to that of HD, exhibits a single isolated hyperfine component, allowing for the accurate determination of hyperfineless rovibrational transition frequencies, resulting in R(0) = $203\,396\,426\,692$ (22) kHz and R(1) = $205\,380 \,033 \,644$ (21) kHz. This corresponds to an accuracy three orders of magnitude better than previous measurements in tritiated hydrogen molecules. Observation of an isolated component in P(1) with reversed signal amplitude contradicts models for line shapes in HD based on cross-over resonances.Comment: 6 pages, 4 figures, Accepte

Hyperfine-Resolved Near-Infrared Spectra of H2_{2}17^{17}O

Huge efforts have recently been taken in the derivation of accurate compilations of rovibrational energies of water, one of the most important reference systems in spectroscopy. Such precision is desirable for all water isotopologues, although their investigation is challenged by hyperfine effects in their spectra. Frequency-comb locked noise-immune cavity-enhanced optical-heterodyne molecular spectroscopy (NICE-OHMS) allows for achieving high sensitivity, resolution, and accuracy. This technique has been employed to resolve the subtle hyperfine splittings of rovibrational transitions of H$_{2}$$^{17}$Oin the near-infrared region. Simulation and interpretation of the H$_{2}$$^{17}$Osaturation spectra have been supported by coupled-cluster calculations performed with large basis sets and accounting for high-level corrections. Experimental $^{17}$O hyperfine parameters are found in excellent agreement with the corresponding computed values. The need of including small hyperfine effects in the analysis of H$_{2}$$^{17}$O spectra has been demonstrated together with the ability of the computational strategy employed for providing quantitative predictions of the corresponding parameters

Proton-electron mass ratio from laser spectroscopy of HD⁺ at the part-per-trillion level

Recent mass measurements of light atomic nuclei in Penning traps have indicated possible inconsistencies in closely related physical constants such as the proton-electron and deuteron-proton mass ratios. These quantities also influence the predicted vibrational spectrum of the deuterated molecular hydrogen ion (HD+) in its electronic ground state. We used Doppler-free two-photon laser spectroscopy to measure the frequency of the v = 0→9 overtone transition (v, vibrational quantum number) of this spectrum with an uncertainty of 2.9 parts per trillion. By leveraging high-precision ab initio calculations, we converted our measurement to tight constraints on the proton-electron and deuteron-proton mass ratios, consistent with the most recent Penning trap determinations of these quantities. This results in a precision of 21 parts per trillion for the value of the proton-electron mass ratio

Lamb-dips and Lamb-peaks in the saturation spectrum of HD

The saturation spectrum of the R(1) transition in the (2-0) band in hydrogen deuteride (HD) is found to exhibit a composite line shape, involving a Lamb-dip and a Lamb-peak. We propose an explanation for such behavior based on the effects of crossover resonances in the hyperfine substructure, which is made quantitative in a density matrix calculation. This resolves an outstanding discrepancy on the rovibrational R(1) transition frequency, which is now determined at 217,105,181,901 (50) kHz and in agreement with current theoretical calculations

Rotational level spacings in HD from vibrational saturation spectroscopy

The R(1), R(3), and P(3) rovibrational transitions in the (2-0) overtone band of the HD molecule are measured in Doppler-free saturation using the technique of NICE-OHMS spectroscopy. For the P(3) line, hitherto not observed in saturation, we report a frequency of 203821936805(60) kHz. The dispersive line shapes observed in the three spectra show strong correlations, allowing for extraction of accurate information on rotational level spacings. This leads to level spacings of Δ(J=3)-(J=1)=13283245098(30) kHz in the v=0 ground state and Δ(J=4)-(J=2)=16882368179(20) kHz in the v=2 excited vibration in HD. These results show that experimental values for the rotational spacings are consistently larger than those obtained with advanced ab initio theoretical calculations at 1.5σ, where the uncertainty is determined by theory. The same holds for the vibrational transitions where systematic deviations of 1.7-1.9σ are consistently found for the five lines accurately measured in the (2-0) band

Propositional integration and world-knowledge inference: Processes in understanding because sentences

Item does not contain fulltexthe issue addressed in this study is whether propositional integration and world-knowledge inference can be distinguished as separate processes during the comprehension of Dutch omdat (because) sentences. “Propositional integration” refers to the process by which the reader establishes the type of relation between two clauses or sentences. “World-knowledge inference” refers to the process of deriving the general causal relation and checking it against the reader's world knowledge. An eye-tracking experiment showed that the presence of the conjunction speeds up the processing of the words immediately following the conjunction, and slows down the processing of the sentence final words in comparison to the absence of the conjunction. A second, subject-paced reading experiment replicated the reading time findings, and the results of a verification task confirmed that the effect at the end of the sentence was due to inferential processing. The findings evidence integrative processing and inferential processing, respectively