Microscopic study of the hot-fusion reaction 48Ca+238U with the constraints from time-dependent Hartree-Fock theory

Based on the microscopic descriptions of the ground state with static Hartree-Fock calculations and reaction dynamic using time-dependent Hartree-Fock (TDHF) theory, in combination with coupled-channel and fusion -by-diffusion models the capture and fusion processes of the hot-fusion reaction 48Ca+238U are investigated. Considering the survival of the compound nucleus with statistical models, our calculations reproduce the experimental evaporation-residue cross sections. The orientation effects of 238U are self-consistently included in the capture and fusion processes. With the internuclear potentials from the density-constrained frozen HF methods, the calculated capture cross sections agree well with the experimental data. The TDHF evolutions with different orientations and incident energies are used to extract the injection distance, which is the only input of the fusion-by-diffusion model for fusion probabilities. The fusion probabilities are strongly dependent on the orientations and the present calculations without any free parameters show that the tip-orientation collision is favorable for both the capture process and the formation of compound nucleus.

Automated summary

Based on microscopic descriptions and reaction dynamics, the capture and fusion processes of the hot-fusion reaction 48Ca+238U are studied with various theoretical models. The calculations reproduce experimental results and reveal the effects of orientation on the capture and fusion processes. The results demonstrate that tip-orientation collision is favorable for both the capture process and the formation of compound nucleus.