Diabatic shifts and fluctuations of heavy-ion fusion barriers

The fusion process for heavy nuclei is studied within a generalized formulation of the diabatic approach to collective nuclear motion. It is shown that the coupled equations of motion decouple during the approach if appropriate diabatic channels are used. Thus the mean value and the variance of the barrier are completely determined from an ensemble of diabatic channel barriers, the ensemble being defined by the initial correlations. The mean shift with respect to the adiabatic barrier and the variance are calculated from the splitting of the diabatic single-particle levels at the barrier and the initial occupation probabilities given by the pairing wavefunctions of the separated nuclei. Results are presented for 23 systems of nuclei with masses around 100. Comparison with experimental data shows good agreement, in particular also for the isotopic trends. Additional effects from the destruction of pairing correlations and the diabatic screening of the fusion pocket for heavier nuclei with Z1Z2 > or approx. 2000 are discussed. (orig.)