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The dynamics of nucleon transfer processes in heavy-ion collisions is investigated within the dinuclear system model. The production cross sections of nuclei in the reactions $^{136}$Xe+$^{208}$Pb and $^{238}$U+$^{248}$Cm are calculated and the calculations are in good agreement with the experimental data. The transfer cross sections for the $^{58}$Ni+$^{208}$Pb reaction are calculated and compared with the experimental data. We predict the production cross sections of neutron-rich nuclei $^{165-168}$Eu, $^{169-173}$Tb, $^{173-178}$Ho, and $^{181-185}$Yb based on the reaction $^{176}$Yb+$^{238}$U. It can be seen that the production cross sections of the neutron-rich nuclei $^{165}$Eu, $^{169}$Tb, $^{173}$Ho, and $^{181}$Yb are 2.84 $\mu$b, 6.90 $\mu$b, 46.24 $\mu$b, and 53.61 $\mu$b, respectively, which could be synthesized in experiment.

Production of heavy neutron-rich nuclei in transfer reactions within the dinuclear system model