The Oscillator Strengths of H2+, 1sσ_{g}-2pσ_{u}, 1sσ_{g}-2pπ_{u}

Abstract

The oscillator strengths of the $H_2^{+}$ molecular ion, $1s{\sigma }_g-2p{\sigma }_u$, $1s{\sigma }_g-2p{\pi }_u$ are calculated within the Born-Oppenheimer approximation. The variational expansion with randomly chosen exponents has been used for numerical studies. The oscillator strengths obtained for the transitions $1s{\sigma }_g-2p{\sigma }_u$, $1s{\sigma }_g-2p{\pi }_u$ of $H_2^{+}$ are accurate up to ten significant digits. Results are given for the internuclear distances between 0.10 and 20.0 a.u.

arXiv comment6 pages