Energy Dependence of Cross Sections near Threshold: One Neutral and Two Charged Reaction Products

Abstract

The energy dependence near threshold of cross sections for reactions leading to the escape of one neutral and two charged particles is determined. The method is an extension of one developed previously for uncharged particles, and utilizes only general properties of solutions of the time-independent three-particle Schrödinger equation valid outside a reaction zone of finite extent. Electron detachment from ${\mathrm{H}}^{-}$ by charged particle bombardment, and nuclear reactions of the type ($n, \mathrm{np}$) are considered as examples.