A model potential approach fs considered for electron-and positron-atom scattering in order to handle with ease the calculation of the scattering amplitudes in the case of collision by a more complex atomic target. As an illustrative example demonstrating the feasibility of this method of approach, we apply the method to the calculation of e-Li elastic scattering in its ground state, using the Glauber approximation. Results for the differential cross sectlons are presented.
The Glauber and other eikonal-related methods of approximation [ 1,2], especially the modified Glauber approximation [3,4], have been known to work remarkably well for electron-and positron-atom scattering at intermediate energies. However, when one attempted to extend the application of these methods of approximation to collisions by a multi-electron atom, one has encountered some serious difficulty in handling the calculation of the multiple scattering terms (by bound ebctrons of the target) of the relevant amplitudes. The degree of difficulty increases dramatically as the number of electrons of the target increases. The calculation is especially unmanageable for the second Born amplitude which is essentially required in these eikonal-related models of approximation. This difficulty has in fact discouraged investigators from extending the application of these eikonalrelated methods of approximation to atomic targets heavier than helium.
We, therefore, consider here an approach in which, con the one hand, the core-electron-pattering effects can be represented more adequately in the calculation while on the other hand, the difficulty encountered in the calculation of the multiple-scattering terms of the scattering amplitude can be avoided. With this method, we can now, in principle, extend the applica-