Db. Milosevic, OFF-SHELL LOW-FREQUENCY APPROXIMATION FOR POTENTIAL SCATTERING IN A STRONG LASER FIELD - EIKONAL VERSUS [1, 1] PADE-APPROXIMATION, Journal of physics. B, Atomic molecular and optical physics, 30(22), 1997, pp. 5251-5258
Analytical and numerical results for the T-matrix and the total cross
section for scattering by a Yukawa potential in a strong low-frequency
laser field are presented. They are based on our recently derived off
;shell low-frequency approximation. The conditions under which the res
ults by Daniele and co-workers can be applied are analysed. Expression
s for the T-matrix and for the total cross section for scattering in a
laser field in the eikonal approximation are derived. The total cross
section is presented in the form of an eikonal multiple scattering se
ries as a product of two factors. One of these factors only depends on
the type of the scattering potential, while the other depends on the
parameters of the scattered particle and the laser field. The results
obtained are in good agreement with our earlier findings derived by us
ing the [1, 1] Fade approximation.