Applications of Skyrme energy-density functional to fusion reactions for synthesis of superheavy nuclei
Abstract
The Skyrme energy-density functional approach has been extended to study the massive heavy-ion fusion reactions. Based on the potential barrier obtained and the parameterized barrier distribution the fusion (capture) excitation functions of a lot of heavy-ion fusion reactions are studied systematically. The average deviations of fusion cross sections at energies near and above the barriers from experimental data are less than 0.05 for 92% of 76 fusion reactions with Z1Z2<1200. For the massive fusion reactions, for example, the 238U-induced reactions and 48Ca+208Pb the capture excitation functions have been reproduced remarkable well. The influence of structure effects in the reaction partners on the capture cross sections are studied with our parameterized barrier distribution. Through comparing the reactions induced by double-magic nucleus 48Ca and by 32S and 35Cl, the 'threshold-like' behavior in the capture excitation function for 48Ca induced reactions is explored and an optimal balance between the capture cross section and the excitation energy of the compound nucleus is studied. Finally, the fusion reactions with 36S, 37Cl, 48Ca and 50Ti bombarding on 248Cm, 247,249Bk, 250,252,254Cf and 252,254Es, and as well as the reactions lead to the same compound nucleus with Z=120 and N=182 are studied further. The calculation results for these reactions are useful for searching for the optimal fusion configuration and suitable incident energy in the synthesis of superheavy nuclei.
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