Theoretical Study of Evaporation Residue Cross Sections in the Decay of Cn*286 Formed Via the U238+Ca48 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 $^{283}\mathrm{Cn}$ and $^{282}\mathrm{Cn}$ isotopes via $3n$ and $4n$ decay channels from the $^{286}\mathrm{Cn}^{*}$ compound nucleus. The study includes quadrupole deformation ${\ensuremath{\beta}}_{2i}$ and hot-optimum orientations ${\ensuremath{\theta}}_{i}$ at various $^{48}\mathrm{Ca}$-beam energies ${E}_{\mathrm{lab}}=233.3\text{--}240\phantom{\rule{4pt}{0ex}}\mathrm{MeV}$ (equivalently, excitation energies ${E}^{*}=34.4\text{--}39.8\phantom{\rule{4pt}{0ex}}\mathrm{MeV}$), 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 $\mathrm{\ensuremath{\Delta}}R$, independently of the nuclear interaction potential and Skyrme force used. We have also calculated the fusion-fission cross section (${\ensuremath{\sigma}}_{ff}^{\mathrm{predicted}}$) at ${E}^{*}=35\phantom{\rule{4pt}{0ex}}\mathrm{MeV}$ 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 $^{286}\mathrm{Cn}$ for future experiments.