Moment functions (including static dipole polarisabilities) and radiative corrections for H₂⁺

Calculations are reported of the moment functions Sk, including the static dipole polarisability, for the 1s sigma g state of H2+ for internuclear separations of 0.2 to 10.0 Bohr and of the Bethe logarithm for separations of 0.2 to 4.0 Bohr. The values of the Bethe logarithm are used to estimate the radiative corrections to the vibrational energy levels of the 1s sigma g state of H2+.