One-photon double ionization of helium: a heuristic formula for the cross section

Abstract

Without a formal derivation, we propose a formula for the total and single-differential cross in the problem of one-photon double ionization of an atom. The formula is benchmarked against accurate experimental data for the total cross section of helium. Furthermore, a direct comparison with ab initio calculations for the double ionization of Li+ suggests that the framework is valid for the entire helium isoelectronic sequence. To this end, we introduce a formula for the double ionization of lithium, as well as for the triple ionization of lithium and beryllium.

References in corpus (3)

• Cross sections for short pulse single and double ionization of helium
• A numerical study of two-photon ionization of helium using the Pyprop framework
• The Coulomb four-body problem in a classical framework: Triple photoionization of lithium

Cited by in corpus (3)

• Quantum control with noisy fields: computational complexity vs. sensitivity to noise
• An R-matrix with pseudo-state (RMPS) approach to the single photon double ionization and excitation of the He-like Li${}^{+}$ ion
• Single-photon double ionization: renormalized-natural-orbital theory vs multi-configurational Hartree-Fock