Inelastic Collisions between Heavy Particles IV: Contribution of Double Transitions to certain Cross Sections including that associated with the Ionization of Hydrogen Atoms in Fast Encounters with other Hydrogen Atoms

Born's approximation is used to calculate the cross sections associated with the processes H(1s) + H(1s) → H(3s, p or d) + H(3s, p or d) and H(1s) + H(1s) → H+ + e + H(3s, p or d; or C) where C represents the continuum. These cross sections and others calculated in papers I and II are combined to yield the cross section for excitation to the third quantum level, the cross sections for ionization and the total cross section for all inelastic collisions. Both single and double transitions are taken in account. The ratio of the electron loss cross section to the electron capture cross section is computed.