Photo-Ionization of the Hydrogen Molecule

Abstract

One-center wave functions are employed to investigate the photo-ionization of the hydrogen molecule from its ground state $X\left(1s\sigma {{}_{}{}^1{}_{}{}^{}\Sigma _g^{}{}_{}{}^{}}^{+}\right)$, from 700 to 300 Å. It is assumed that the residual ion is left in its ground state, and the free electron is in a $p\sigma or p\pi$ orbital. Using the one-center wave functions for $\mathrm{H}_2^{}{}_{}{}^{+}$ for the internuclear distance equal to $1.4a_0$, the free-electron wave functions are obtained by solving the integrodifferential equations in exchange and polarized-orbital approximations. The oscillator strengths obtained in the polarized-orbital approximation are found to be in satisfactory agreement with the experimental data.