Time-dependent Born-series calculations of three-body scattering systems

Time-dependent Born-series calculations are carried out for various short and long range three-body scattering systems. The long range system is a standard s-wave model for electron-atom scattering developed by Temkin @Phys. Rev. 126, 130 ~1962!# and Poet @J. Phys. B 11, 3081 ~1978!#. A direct solution of the timedependent Schrödinger equation yields exact excitation and ionization cross sections for all the scattering systems. For short range forces the time-dependent Born-series calculations are found to converge more rapidly for weak binding potentials and high incident electron energies. For long range forces the time-dependent Born-series calculations do not converge, although the first-order excitation and ionization cross sections are quite reasonable.