Coulomb-Eikonal Amplitude for the Hydrogen Broken-Up Process by Electron Impact

A method is developed for the evaluation of the (e, tel ionization amplitude in the eikonal approximation, where the two outgoing electrons are considered to be in uncorrelated Coulomb continuum states. The triple differential cross section for the process is analyzed in a coplanar geometry by using the Coulomb-projected eikonal approximation. A comparison is made with experimental data and with results obtained by other approximation methods. It is found that the method proposed here provides rather good estimate in the small momentum transfer condition. Recently the Glauber or eikonal-type ap proximation has been applied extensively with great success to the analysis of atomic scattering.!) In particular it gives an interesting result for the break-up process of the hydrogen system!)-') It seems to bring realistically good estimates not only at high