Rare isotope formation in complete fusion and multinucleon transfer reactions in collisions of Ca48+Cm248 near Coulomb barrier energies

Within the framework of the dinuclear system model, the reaction mechanisms for synthesizing target-like isotopes from Bk to compound nuclei Lv are thoroughly investigated in complete and incomplete fusion reactions of $^{48}\mathrm{Ca}$ $+^{248}\mathrm{Cm}$ near Coulomb barrier energies. The production cross section of $^{292,293}\mathrm{Lv}$ as a function of excitation energy in fusion-evaporation reactions and target-like isotopic yields in multinucleon transfer reactions are evaluated, and a statistical approach is used to describe the decay process of excited nuclei. The available experimental data can be reproduced reasonably well with the model. The products of all possible formed isotopes in the dynamical preequilibrium process for collision partners at incident energy ${E}_{\mathrm{lab}}=5.5$ MeV/nucleon are exported, systematically. It was found that the quasifission fragments are dominant in the yields. The optimal pathway from the target to compound nuclei shows up along the valley of potential surface energy. The effective impact parameter of two colliding partners leading to compound nuclei is selected from head-on collision to semicentral collision with $L=52\ensuremath{\hbar}$. The timescale boundary between complete fusion and multinucleon transfer reactions is about $5.7\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}21}\phantom{\rule{4pt}{0ex}}\mathrm{s}$ with effective impact parameters. The synthesis cross sections of unknown neutron-rich actinides from Bk to Rf have been predicted to be around several nanobarns.