Partial Wave Expansion of Three-particle Continuum. States in Hyperspherical Coordinates: Application to Ionisation Problems

A partial wave expansion of three-particle continuum states has been developed using hyperspherical coordinates. An approximate three-particle continuum state appears which may be useful in electron-hydrogen atom ionisation studies. Further improvement in the result is also possible. The analysis may be easily extended for application to other three-body ionisation problems.