Hydrogen molecular ions for improved determination of fundamental constants

Abstract

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 metrology of nuclear-to-electron mass ratios, we show that they are also sensitive to the radii of the proton and deuteron and to the Rydberg constant at the level of the current discrepancies colloquially known as the proton size puzzle. The required level of accuracy, in the 10 --12 range, can be reached both by experiments, using Doppler-free two-photon spectroscopy schemes, and by theoretical predictions. It is shown how the measurement of several well-chosen rovibrational transitions may shed new light on the proton-radius puzzle, provide an alternative accurate determination of the Rydberg constant, and yield new values of the proton-to-electron and deuteron-to-proton mass ratios with one order of magnitude higher precision.

References in corpus (22)

• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Frequency Comparison of Two High-Accuracy Al+ Optical Clocks
• Improved Measurement of the Hydrogen 1S - 2S Transition Frequency
• Two-photon laser spectroscopy of antiprotonic helium and the antiproton-to-electron mass ratio
• Muonic hydrogen and the proton radius puzzle
• High-precision measurement of the atomic mass of the electron
• Probing QED and fundamental constants through laser spectroscopy of vibrational transitions in HD+
• Bounds on fifth forces from precision measurements on molecules
• Calculation of the Electron Self Energy for Low Nuclear Charge
• Frequency metrology in quantum degenerate helium: Direct measurement of the 2 3S1 - 2 1S0 transition
• Addressing and manipulation of individual hyperfine states in cold trapped molecular ions and application to HD^{+} frequency metrology
• Nonrelativistic QED approach to the Lamb shift
• Constraints on extra dimensions from precision molecular spectroscopy
• Theoretical transition frequencies beyond 0.1 ppb accuracy in H${}_2^{+}$, HD${}^{+}$, and antiprotonic helium
• H2+ and HD+: candidates for a molecular clock
• High accuracy results for the energy levels of the molecular ions H2+, D2+ and HD+, up to J=2
• Evaluation of the strength of electron-proton scattering data for determining the proton charge radius
• Vibrational spectroscopy of H2+: hyperfine structure of two-photon transitions
• XUV frequency comb metrology on the ground state of helium
• Calculation of transition probabilities and ac Stark shifts in two-photon laser transitions of antiprotonic helium
• Two-photon spectroscopy of trapped HD${}^{+}$ ions in the Lamb-Dicke regime
• Vibrational spectroscopy of H2+: precise evaluation of the Zeeman effect

Cited by in corpus (22)

• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• Fundamental transitions and ionization energies of the hydrogen molecular ions at the few ppt level
• CPT tests with the antihydrogen molecular ion
• Deuteron charge radius and Rydberg constant from spectroscopy data in atomic deuterium
• Doppler-Free Two-Photon Cavity Ring-Down Spectroscopy of a Nitrous Oxide (N${}_2$O) Vibrational Overtone Transition
• Review of experimental and theoretical status of the proton radius puzzle
• Non-adiabatic, Relativistic, and Leading-order QED Corrections for Rovibrational Intervals of ${}^4$He${}_2^{+}$ ($X{}^2{\Sigma }_{\mathrm{u}}^{+}$)
• Trapping, cooling, and photodissociation analysis of state-selected H$\_2^{+}$ ions produced by (3+1) multiphoton ionization
• Precision Measurements in Few-Electron Molecules: The Ionization Energy of Metastable ${}^4$He${}_2$ and the First Rotational Interval of ${}^4$He${{}_2}^{+}$
• High-precision spectroscopy of the HD+ molecule at the 1-p.p.b. level
• Hyperfine structure in the H${}_2^{+}$ and HD${}^{+}$ molecular ions at $m{\alpha }^6$ order
• Accuracy estimation of the 16O2+ transition frequencies targeting the search for the variation in mp/me
• Trapping and Ground-State Cooling of a Single H${}_2^{+}$
• Explicitly correlated Gaussian functions with shifted-center and projection techniques in pre-Born-Oppenheimer calculations
• Proton-electron mass ratio from HD${}^{+}$ revisited
• Prospects for the determination of fundamental constants with beyond-state-of-the-art uncertainty using molecular hydrogen ion spectroscopy
• Stark quenching of rovibrational states of H2+ due to motion in a magnetic field
• Hyperfine structure and electric quadrupole transitions in the deuterium molecular ion
• One-loop vacuum polarization at m$\alpha$7 and higher orders for three-body molecular systems
• Ro-vibrational spin-averaged transitions in the hydrogen molecular ions
• Ghost features in Doppler-broadened spectra of rovibrational transitions in trapped HD${}^{+}$ ions
• Mid-infrared monocrystalline interference coatings with excess optical loss below 10 ppm