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Within the framework of the dinuclear system model, the reaction mechanismsfor synthesizing target-like isotopes from Bk to compound nuclei Lv arethoroughly investigated in complete and incomplete fusion reaction of $^{48}$Ca+$^{248}$Cm around Coulomb barrier energies. Production cross-section of$^{292,293}$Lv as a function of excitation energy in fusion-evaporationreactions and target-like isotopic yields in multinucleon transfer reactionsare evaluated, in which a statistical approach is used to describe the decayprocess of excited nuclei. The available experimental data can be reproducedwell with the model reasonably. The products of all possible formed isotopes inthe dynamical pre-equilibrium process for collision partners at incident energy$E_{\rm lab}$ = 5.5 MeV/nucleon are exported, systematically. It is found thatthe quasi-fission fragments are dominant in the yields. The optimal pathwayfrom the target to compound nuclei shows up along the valley of potentialsurface energy. The effective impact parameter of two colliding partnersleading to compound nuclei is selected from head-on collision to semi-centralcollision with $L$ = 52 $\rm \hbar$. The timescale boundary between completefusion and multinucleon transfer reactions is about 5.7$\times 10^{-21}$ s witheffective impact parameters. Synthesis cross-section of unknown neutron-richactinides from Bk to Rf have been predicted around several nanobarns.

Rare Isotope Formation in Complete Fusion and Multinucleon Transfer Reactions in Collisions of 48Ca +248Cm around Coulomb Barrier Energies