Theoretical study of evaporation residue cross sections in the decay of 286Cn*formed via the 238U+48Ca reaction using Skyrme forces

The dynamical cluster-decay model (DCM) is employed to study the excitation functions and fusion evaporation residue (ER) cross sections for the production of 283Cn and 282Cn isotopes via 3n and 4n decay channels from the 286Cn* compound nucleus. The study includes quadrupole deformation beta 2i and hot-optimum orientations theta i at various 48Ca-beam energies Elab = 233.3-240 MeV (equivalently, excitation energies E* = 34.4-39.8 MeV), supporting symmetric fission, which agrees well with the experimental data. The reaction was investigated by using a hot compact configuration. The Skyrme forces used are new forces GSkI and KDE0(v1), and the conventional force SIII. Apparently, the DCM with the pocket formula for nuclear proximity potential reproduces the measured data on fusion ER nicely within single-parameter fitting of AR, independently of the nuclear interaction potential and Skyrme force used. We have also calculated the fusion-fission cross section (sigma predicted at E* = 35 MeV and ER cross sections for the experimentally unobserved neutron emission channels 1n, 2n, and 4n at different excitation energies E*. Further, we have proposed new target-projectile (t-p) combinations for the synthesis of 286Cn for future experiments.

Automated summary

The dynamical cluster-decay model (DCM) is used to study the excitation functions and fusion evaporation residue (ER) cross sections for the production of 283Cn and 282Cn isotopes via 3n and 4n decay channels from the 286Cn* compound nucleus. The results agree well with experimental data and propose new target-projectile combinations for future experiments.