Dissipative dynamics of fusion of massive nuclei

Dissipative dynamics of fusion of massive nuclei is studied in terms of the two-center shape parameterization. Fusion probability is obtained analytically from a Brownian particle passing over a parabolic potential barrier along the elongation coordinate. The neck variable at the initial contact shape is supposed to be a Gaussian distribution. Fusion probabilities of several symmetric or nearly symmetric systems in central collisions are calculated and compared with experimental data. Effects of neck folding and initial energy loss on the fusion hindrance are discussed