Post collision interactions in fully differential cross sections for four-body charge transfer processes

Recently, experimental fully differential cross sections have been reported for proton-helium collisions. In this work we will examine single capture, transfer with target excitation and double capture for proton-helium collisions. For single capture, the proton captures one electron from helium and leaves the other electron in the ground state. For the transfer-excitation case, the target is excited to arbitrary excited states. In the case of double capture, the proton captures both of the electrons from helium and leaves the collision as an H- ion. We introduce a fully quantum mechanical four-body model that includes the final state post collision interactions between all two-particle pairs exactly. In the initial state, the two-particle interactions are included asymptotically by using an Eikonal wavefunction. The results of this model are in better agreement with experimental data than previous quantum mechanical calculations.