Isospin equilibration in multinucleon transfer reaction at near-barrier energies

The isospin equilibration process in multinucleon transfer reaction is investigated by using the improved quantum molecular dynamics model. The collision processes of $^{124}$Xe+$^{208}$Pb at near-barrier energy are studied with different symmetry energy coefficients. We find that neutrons transfer happens earlier than protons. The large symmetry energy promote the transfer of neutrons. The neutron flow from the target to projectile is along the low-density path of neck. The isospin equilibration process in $^{58}$Ni+$^{208}$Pb reaction is also investigated and compared with available experimental data. It shows that $N/Z$ values of the projectile-like products increase rapidly with increasing mass transfer. The complete isospin equilibration events are located in the region of $120<A<150$ which are produced in symmetric fission-type reactions.