Merging of transport theory with TDHF: multinucleon transfer in U+U collisions

Multinucleon transfer mechanism in the collision of ${}^{238}\text{U}+{}^{238}\text{U}$ system is investigated at $E_\text{c.m.} =833$ MeV in the framework of the quantal diffusion description based on the stochastic mean-field approach (SMF). Double cross-sections $\sigma(N,Z)$ as a function of the neutron and proton numbers, the cross-sections $\sigma(Z)$ and $\sigma(A)$ as a function of the atomic numbers and the mass numbers are calculated for production of the primary fragments. The calculation indicates the ${}^{238} \text{U}+{}^{238} \text{U}$ system may be located at an unstable equilibrium state at the potential energy surface with a slightly negative curvature along the beta stability line on the $(N,Z)-$plane. This behavior may lead to rather large diffusion along the beta stability direction.