Electric dipole rovibrational transitions in the HD molecule

The rovibrational electric dipole transitions in the ground electronic state of the HD molecule are studied. A simple, yet rigorous formula is derived for the transition rates in terms of the electric dipole moment function $D\left(R\right)$, which is calculated in a wide range of $R$. Our numerical results for transition rates are in moderate agreement with experiments and previous calculations, but are at least an order of magnitude more accurate.

Figure 1

(Color online) Electric dipole moment function $D\left(R\right)$ (in ${10}^{-4}\mathrm{D}$). A comparison to previous calculations by Ford and Browne [15] (dotted line). $\vec{n}$ is directed from deuteron to proton. Negative $D\left(R\right)$ means that electrons are shifted toward the deuteron.