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.

4 pages, 1 figure

References in corpus (1)

• Relativistic corrections of order mα^6 to the two-center problem

Cited by in corpus (12)

• The Born-Oppenheimer approximation in an effective field theory language
• 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
• 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
• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions
• Precision spectroscopy of the hydrogen molecular ions HD${}^{+}$
• 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
• 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
• QED corrections of orders $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ for HD${}^{+}$ rovibrational transitions beyond Born-Oppenheimer approximation