The static and dynamic polarisability, and the Stark and black-body radiation frequency shifts of the molecular hydrogen ions H2+, HD+, and D2+

Abstract

We calculate the DC Stark effect for three molecular hydrogen ions in the non-relativistic approximation. The effect is calculated both in dependence on the rovibrational state and in dependence on the hyperfine state. We discuss special cases and approximations. We also calculate the AC polarisabilities for several rovibrational levels, and therefrom evaluate accurately the black-body radiation shift, including the effects of excited electronic states. The results enable the detailed evaluation of certain systematic shifts of the transitions frequencies for the purpose of ultra-high-precision optical, microwave or radio-frequency spectroscopy in ion traps.

References in corpus (2)

• Vibrational spectroscopy of H2+: hyperfine structure of two-photon transitions
• Vibrational spectroscopy of H2+: precise evaluation of the Zeeman effect

Cited by in corpus (3)

• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions
• Vibronic spectroscopy of sympathetically cooled CaH${}^{+}$
• Leading order relativistic corrections to the dipole polarizability of the hydrogen molecular ions