Semi-classical Computation of Low-energy Collisions Cross Section in Mutual Neutralization of Helium and Hydrogen Ions

Abstract

A Semi-classical model is employed to theoretically study mutual neutralization in the collisions of ${}^4\mathrm{H}{\mathrm{e}}^{+}$ and ${\mathrm{H}}^{-}$. The model includes nine covalent states of ${}^2{\mathrm{\Sigma }}^{+}$ symmetry. Here the assumption is that only two states are interacting at a given internuclear position. The reaction is studied for collisions energies below 100 $eV$. The total mutual neutralisation cross section is computed and compared with previous results