Relativistic corrections of mα^6 order to the ro-vibrational spectrum of H_2^+ and HD^+ molecular ions

Abstract

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 of relativistic and radiative corrections have been obtained for a wide range of ro-vibrational states of H_2^+ and HD^+ up to order R_\inftyα^4. In this work we complete calculations of various contributions to the R_\inftyα^4 order by computing the relativistic corrections to the binding energy of electron.

arXiv comment4 pages, 1 figure

References in corpus (4)

• Theory of Light Hydrogenlike Atoms
• CORRECTIONS OF ORDER ${\alpha }^2(Z\alpha {)}^5$ TO HYPERFINE SPLITTING AND LAMB SHIFT
• Molecular Dynamics Simulation of Sympathetic Crystallization of Molecular Ions
• Relativistic corrections of order mα^6 to the two-center problem

Cited by in corpus (31)

• The Fundamental Vibration of Molecular Hydrogen
• Probing QED and fundamental constants through laser spectroscopy of vibrational transitions in HD+
• Addressing and manipulation of individual hyperfine states in cold trapped molecular ions and application to HD^{+} frequency metrology
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• Theoretical transition frequencies beyond 0.1 ppb accuracy in H${}_2^{+}$, HD${}^{+}$, and antiprotonic helium
• The Born-Oppenheimer approximation in an effective field theory language
• Quantum Forces from Dark Matter and Where to Find Them
• Bounds on fifth forces at the sub-Angstrom length scale
• Bounding Quantum Dark Forces
• Calculation of the relativistic Bethe logarithm in the two-center problem
• Vibrational spectroscopy of H2+: hyperfine structure of two-photon transitions
• Relativistic corrections of mα^6(m/M) order to the hyperfine structure of the H_2^+ molecular ion
• The electric quadrupole moment of molecular hydrogen ions and their potential for a molecular ion clock
• Observation of a rotational transition in trapped and sympathetically cooled molecular ions
• Observation and calculation of the quasi-bound rovibrational levels of the electronic ground state of H${}_2^{+}$
• Hyperfine structure in the H${}_2^{+}$ and HD${}^{+}$ molecular ions at $m{\alpha }^6$ order
• Infrared dynamic polarizability of HD+ rovibrational states
• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions
• QED correction for H${}_3^{+}$
• Precision spectroscopy of the hydrogen molecular ions HD${}^{+}$
• Precision measurement of the rotational energy-level structure of the three-electron molecule He${}_2^{+}$
• Explicitly correlated Gaussian functions with shifted-center and projection techniques in pre-Born-Oppenheimer calculations
• High-resolution spectroscopy of He${}_2^{+}$ using Rydberg-series extrapolation and Zeeman-decelerated supersonic beams of metastable He${}_2$
• Proton-electron mass ratio from HD${}^{+}$ revisited
• Precision spectroscopy of the molecular ion HD+: control of Zeeman shifts
• Ab initio potential energy curves, scattering lengths, and rovibrational levels of the He${}_2^{+}$ molecular ion in excited electronic states
• Estimating the radiative part of QED effects in superheavy nuclear quasimolecules
• One-loop vacuum polarization at m$\alpha$7 and higher orders for three-body molecular systems
• Static Dipole Polarizability for the $1S\sigma$ electronic state of the $H_2^{+}$ molecular ion
• Physics beyond the Standard Model from hydrogen spectroscopy
• QED corrections of orders $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ for HD${}^{+}$ rovibrational transitions beyond Born-Oppenheimer approximation