Exchange assisted tunneling and positron annihilation on inner atomic shells

TL;DR

This paper explores how the asymptotic behavior of Hartree-Fock orbitals influences positron annihilation on inner atomic shells, suggesting a link between orbital decay and observable annihilation phenomena.

Contribution

It proposes that the weaker decay of Hartree-Fock orbitals at large distances explains positron annihilation on inner shell electrons, connecting theoretical orbital behavior with experimental observations.

Findings

Weaker orbital decay correlates with positron annihilation on inner shells.

Hartree-Fock asymptotics influence observable annihilation effects.

The study bridges theoretical orbital properties with experimental data.

Abstract

It is known for a long time that the long range asymptotic behavior of the Hartree-Fock orbitals is different from that of the orbitals in the local potential. However, there is no consensus about observable physical effects associated with this asymptotics. Here we argue that weaker decrease of the Hartree-Fock orbitals at large distances is responsible for the positron annihilation on the inner shell electrons, which is observed experimentally.