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 heavyion 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 Z 1 Z 2 < 1200.For the massive fusion reactions, for example, the 238 U-induced reactions and 48 Ca+ 208 Pb 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 48 Ca and by 32 S and 35 Cl, the 'threshold-like' behavior in the capture excitation function for 48 Ca 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 36 S, 37 Cl, 48 Ca and 50 Ti bombarding on 248 Cm, 247,249 Bk, 250,252,254 Cf and 252,254 Es, 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. * Electronic address: Ning.Wang@theo.physik.uni-giessen.de

Fusion-fission reactions with a modified Woods-Saxon potential

“…With the modified Woods-Saxon potential together with the proposed empirical fusion barrier distribution in [19], the fusion cross sections and the mean barrier heights of a large number of reactions can be reproduced well [19,24,25,26]. For the reader's convenience, the empirical barrier distribution is briefly introduced here.…”

Systematics of fusion probability in “hot” fusion reactions

“…In Refs. [21][22][23][24], the methods for the calculation of σ cap and W sur are well established in general, with the Skyrme energy-density functional and an empirical barrier distribution for describing the capture cross sections and with the HIVAP code [25][26][27] for describing the survival probability of the compound nuclei.…”

Fusion Dynamics of Low-Energy Heavy-Ion Collisions for Production of Superheavy Nuclei

“…For the low-energy heavy-ion collision, the capture cross section from the sub-barrier region to above the Coulomb barrier is an important issue for theoretical and experimental studies [78][79][80][81][82][83]. One of reasons is that the overall uncertainties in predicting superheavy nuclei production are associated with the calculations of capture cross sections [50, 84,85].…”