Close coupling approach in optically allowed atomic transitions

In general the calculations of the cross sections in atomic collisions theory need a treatment of a system of coupled integro-differential equations. We perform a numerical technique for calculations of electrons scattering with sodium atom. The cross sections are evaluated in the close coupling approach, where the problem is formulated in three coupling channel approximation. It is found that the three-channel problem results are typically in good agreement with experiment and two-channel calculations for intermediate energy range. The difference in the other range of energy can be assigned to the number of the used set of coupled differential equations in the 32S→32P transition of sodium. (Abstract Copyright [2007], Wiley Periodicals, Inc.)