NECK FORMATION IN FUSION DYNAMICS OF MASSIVE NUCLEI

Abstract

Dynamics of fusion of massive nuclei is described by a simple diffusion model in terms of the two-center shape parameterizations {z, ε} and the fusion probability is calculated by a Brownian particle passing over the top of a parabolic potential along the elongation coordinate z. The neck variable ε at initial shape is supposed to be a Gaussian distribution after a transitive process, and the average initial kinetic energy of the fusing system is determined by energy conservation. The fusion probabilities of several symmetric or nearly symmetric systems in central collisions are calculated as functions of the center-of-mass energy and compared with the experimental data. Effects of energy loss and neck folding on the fusion hindrance are discussed.