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 rovibrational transition frequencies are determined. Numerical uncertainty in the ${R}_{\ensuremath{\infty}}{\ensuremath{\alpha}}^{2}$ order correction is reduced to sub-kHz or smaller. Our work provides an independent verification of Korobov's calculations [V. I. Korobov, Phys. Rev. A 74, 052506 (2006); V. I. Korobov, Phys. Rev. A 77, 022509 (2008)].
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