Abstract
The production cross sections of new neutron-rich nuclei $^{209\text{--}212}\mathrm{Pt}$ are investigated with multinucleon transfer reactions by the dinuclear system model. It is found that the $^{133}\mathrm{Sn}+^{204}\mathrm{Hg}$ and $^{145}\mathrm{Xe}+^{208}\mathrm{Pb}$ systems are advantageous to produce the neutron-rich nuclei, in which the production cross sections are much higher than those produced in projectile fragmentation reactions. The optimal incident energies for these two systems are about 1.18 and 1.40 times the Coulomb barrier, respectively. The highest cross sections of unknown isotopes $^{209\text{--}212}\mathrm{Pt}$ in the $^{145}\mathrm{Xe}+^{208}\mathrm{Pb}$ reaction are 2.7 nb, 0.4 nb, 8.2 pb, and 2.7 pb, respectively, and those for the $^{133}\mathrm{Sn}+^{204}\mathrm{Hg}$ reaction are 1.7 nb, 0.4 nb, 23.3 pb, and 4.8 pb, respectively.
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