Microscopic study of compound-nucleus formation in cold-fusion reactions

The understanding of the fusion probability is particular importance to reveal mechanism producing superheavy elements. We present a microscopic study compound nucleus formation by combining time-dependent density functional theory, coupled-channels approach, and dynamical diffusion models. cross sections for cold-fusion reactions $^{48}$Ca+$^{208}$Pb, $^{50}$Ti+$^{208}$Pb, $^{54}$Cr+$^{208}$Pb are investigated it found that deduced capture barriers, these consistent with experimental data. Above barrier, our calculations reproduce measured reasonably well. Our studies demonstrate restrictions from dynamic theory improve predictive power calculations.