Polarizabilities of hydrogen molecules calculated without using the Born-Oppenheimer approximation

Abstract

The static dipole polarizabilities of the first three lowest states of hydrogen molecules ${\mathrm{H}}_{2}$, HD, and ${\mathrm{D}}_{2}$ are calculated using variationally generated wave functions in Hylleraas coordinates without using the Born-Oppenheimer approximation. Our results for ${\mathrm{H}}_{2}$ and HD are two orders of magnitude more accurate than the best literature values. We also improve the previous best results for ${\mathrm{D}}_{2}$.