Applications of the Glauber approximation to atomic collisions

Abstract

Applications (to July 1973) of the Glauber approximation to elastic and inelastic collisions of charged particles with neutral atoms are critically reviewed in an attempt to assess the utility of the Glauber approximation in the atomic collisions domain. Various alternative derivations of the Glauber amplitude formula, both for potential scattering and for composite collisions, also are described and compared.A number of possible problems for future research are listed.

Theoretical Models for Atomic Charge Transfer in Ion-Atom Collisions

“…The Glauber theory or eikonal approximation has originally been developed for problems of potential scattering 62,63 . In this theory the electron-nucleus interaction is accounted for by means of a path integral which modifies the energy phase.…”

Glauber amplitude for ionization of helium by electron impact

“…(2) Using the notion of eikonal approximation by assuming that (p varies slowly over the wavelength requiring the dropping of 1712 term in (2), we get iko ~z = (J4~(r2' r3) + V(rl))(o.…”

“…It is useful [2] in atomic scattering calculations where complete solutions are not known. Recently this theory has been successfully applied to various excitation and ionization processes in hydrogen and hydrogen-like atoms [34].…”

Semiclassical fully differential ionization cross sections of helium with negatively charged fast projectiles

“…Regarding our present work, three theoretical approximations have to be noted: (1) the perturbative first-order Born approximation [13], where only the first term of the Born series is taken into account; (2) the eikonal-type Glauber approximation (GA) [14], which is supposed to be more complete than the Born approximation and is used since 1969 to study a wide variety of atomic collision processes and (3) the nonperturbative convergent close-coupling model (CCC) [15], which is based on a close-coupling expansion of the multielectron wavefunction.…”