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

TL;DR

This paper combines transport theory with TDHF to study multinucleon transfer in uranium-238 collisions, revealing potential instability at equilibrium and significant diffusion along the beta stability line.

Contribution

It introduces a novel approach merging transport theory with TDHF to analyze multinucleon transfer in heavy-ion collisions.

Findings

Potential unstable equilibrium state in U+U system.

Large diffusion along the beta stability line.

Calculated cross-sections for primary fragment production.

Abstract

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.