Uniform WKB Theory of Inelastic Collisions: Application toHe+-Ne Inelastic Collisions

Abstract

The uniform WKB theory of inelastic collisions is discussed further and applied to a semi-classical analysis of the ${\mathrm{He}}^{+}$-Ne inelastic collisions [${\mathrm{He}}^{+}+\mathrm{Ne}\left(2\mathrm{}{p}^6\right)\to {\mathrm{He}}^{+}+{\mathrm{Ne}}^{*}\left(2\mathrm{}{p}^{5}3s\right)$] at $E=70.9\mathrm{}$ eV. The uniform WKB differential cross section of the inelastic scattering is compared with that of the Landau—Zener—Stückelburg theory of inelastic collisions. The result of comparisons indicates that the uniform WKB theory is more reliable than the Landau—Zener—Stückelberg theory and the distorted-wave-Born-approximation theory.