Influence of the shell effects on the production of the light nuclei in heavy-ion collisions

Various approaches to calculate the coefficients of the transport equation describing the process of the multinucleon transfer have been analyzed. It is shown that the expressions for the transition probabilities containing the effects of the nuclear shell structure can be obtained if it is not use averaging of the matrix elements over many shell configurations. On this basis in the framework of the model with the degenerated shells the production of the light nuclei in the heavy-ion reactions is investigated. The calculations performed under the assumption that the wave functions of the high-lying single-particle states of the system do not concentrated in one nucleus but distributed among both nuclei proportionally to their volumes gives much higher production probabilities for light nuclei than the results obtained under the assumption that the single-particle states belong only to one of the interacting fragments. 10 refs.; 6 figs