Abstract

Introduction: In the present study, we evaluate the nucleon evaporation, alpha decay, and fission widths in the fusion-fission of the ⁵⁸Ni+²⁵¹Cf and ⁶⁴Zn + ²⁴⁸Cm reactions for the synthesis of the super-heavy ^{309, 312}126 nuclei.

Methods: The feasibility of the synthesis of the ^{309, 312}126 isotopes via the mentioned systems is investigated based on the widths. The widths in the excitation energy range of E^* = 10 – 100 MeV are calculated in the scope of the statistical model, in which the level density is calculated by using the Fermi-gas model. By employing the LISE++ code, the level densities the compound nuclei, ^{309, 312}126 nuclei, are calculated to be about 10⁵ – 10⁵⁰ (MeV^-1) in the energy range of interest.

Results: The lifetime of the compound nuclei, ^{309, 312}126 nuclei, which are estimated based on the total width, is about 10^-22-10^-20 s. The fission has the largest width compared to those of the alpha decay and nucleon evaporations. Hence, the ⁵⁸Ni+²⁵¹Cf and ⁶⁴Zn + ²⁴⁸Cm combinations are appropriate to the study of the mass distribution. In addition, the large alpha decay widths suggest the ^{309, 312}126 isotopes be the alpha-decay nuclei.

Conclusion: The results are expected to be useful for considering measurements at facilities in the near future.