Abstract
Calculated values of the dipole polarizabilities of the ground states of H2+ and D2+ are in good agreement with the experimental values of Jacobson et al. [Phys. Rev. A 56, R4361 (1997); 57, 4065(E) (1998)]. Two different approaches are used involving a variational method and a scattering method, the latter providing the prospect of calculating accurate nonadiabatic molecular properties for many of the vibration-rotation levels of the hydrogen molecular cation.