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 (2)

• Relativistic corrections of mα^6 order to the ro-vibrational spectrum of H_2^+ and HD^+ molecular ions
• Vibrational spectroscopy of H2+: hyperfine structure of two-photon transitions

Cited by in corpus (1)

• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions