Precision spectroscopy of the hydrogen molecular ions HD${}^{+}$

Abstract

Expectation values of the Breit operators and the $Q$ terms are calculated for HD${}^{+}$ with the vibrational number $v=0-4$ and the total angular momentum $L=0-4$. Relativistic and radiative corrections to some ro-vibrational transition frequencies are determined. Numerical uncertainty in $R_{\infty }{\alpha }^2$ order correction is reduced to sub kHz or smaller. Our work provides an independent verification of Korobov's calculations [Phys. Rev. A {\bf74}, 052506 (2006); {\bf77}, 022509 (2008)].

6 pages, 6 tables, 32 references

References in corpus (8)

• Theory of Light Hydrogenlike Atoms
• Addressing and manipulation of individual hyperfine states in cold trapped molecular ions and application to HD^{+} frequency metrology
• CORRECTIONS OF ORDER ${\alpha }^2(Z\alpha {)}^5$ TO HYPERFINE SPLITTING AND LAMB SHIFT
• Relativistic corrections of mα^6 order to the ro-vibrational spectrum of H_2^+ and HD^+ molecular ions
• Radiative Corrections to the Muonium Hyperfine Structure. II. The $\alpha (Z\alpha {)}^2$ Correction
• Quantum Electrodynamics of the Helium Atom
• Vibrational spectroscopy of H2+: hyperfine structure of two-photon transitions
• Infrared dynamic polarizability of HD+ rovibrational states

Cited by in corpus (7)

• Fundamental transitions and ionization energies of the hydrogen molecular ions at the few ppt level
• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions
• QED correction for H${}_3^{+}$
• Leading order relativistic corrections to the ro-vibrational spectrum of $\mbox{H}^+_2$ and $\mbox{HD}^+$ molecular ions
• Explicitly correlated Gaussian functions with shifted-center and projection techniques in pre-Born-Oppenheimer calculations
• Proton-electron mass ratio from HD${}^{+}$ revisited
• QED corrections of orders $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ for HD${}^{+}$ rovibrational transitions beyond Born-Oppenheimer approximation