ANALYSIS OF STATE-TO-STATE DIFFERENTIAL CROSS-SECTIONS IN 2-DIMENSIONAL XE-CO2 SCATTERING WITH LONG-RANGE EFFECTS

Differential rotational cross sections as a function of Delta j and th e scattering angle are calculated using the two-dimensional (2D) close -coupled equations and a comparison with the 2D classical trajectory m ethod is presented. A full potential, i.e., including repulsive and at tractive forces, is used and the analysis of rainbow structure is disc ussed in detail. The rainbow positions have been identified by followi ng the classical trajectory and it has been found that the rainbows ca n be attributed mainly to the attractive part of the interaction poten tial. The 2D ellipsoid model [Phys. Rev. A 22, 2617 (1980)] is also ap plied to analyze the rainbow trajectory and did not predict the same n umber of rainbows obtained via 2D classical trajectory. In addition, i t showed a large deviation for the angular region of the first impact. This model, as expected, was able to explain a larger Delta j transit ion when attractive forces were included.