The shake effect in electron capture
Description
In this work I present an overview of the principles involved in double electron capture considering the shakeover effect, that is, the falling of a second electron onto the projectile after a collision, which is due to a change of the nuclear potential accompanying capture of a first electron by the projectile. One of the main aims of the thesis is to provide a method to evaluate the probability for double capture with shakeover, P S, as a function of the impact parameter B for 1s--1s electron capture at high collision velocities, and compare it with the probability for direct capture of mass transfer. In particular, the probabilities for electron shakeover and direct capture have been computed for H+ collisions with He and Ne atoms and also for He++ on He. The analytical and numerical Fourier transforms of both probability amplitudes have been obtained and used in the calculation of the differential cross sections in function of the scattering angle of the interactions. Illustrative comparisons between data from experiments on He++-He collision and results of the numerical calculations are presented, and satisfactory agreement is obtained