# Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the $Z=120$ superheavy element

## TL;DR

This paper introduces a novel fusion modeling approach combining TDHF and Langevin dynamics to better predict superheavy element synthesis, focusing on element 120 via hot fusion reactions.

## Contribution

It develops a new method integrating TDHF with Langevin equations to improve predictions of superheavy element formation in fusion reactions.

## Key findings

- Distances of closest approach are similar across studied systems.
- Differences in evaporation residue probabilities mainly stem from evaporation processes.
- Evaporation process sensitivity to fission barrier height and excitation energy.

## Abstract

We develop a novel approach to fusion reactions for syntheses of superheavy elements, which combines the time-dependent Hartree-Fock (TDHF) method with a dynamical diffusion model based on the Langevin equation. In this approach, the distance of the closest approach for the capture process is estimated within the TDHF approach, which is then plugged into the dynamical diffusion model as an initial condition. We apply this approach to hot fusion reactions leading to formation of the element $Z=120$, that is, the $^{48}$Ca+$^{254,257}$Fm, $^{51}$V+$^{249}$Bk, and $^{54}$Cr+$^{248}$Cm reactions. Our calculations indicate that the distances of the closest approach for these systems are similar to each other and thus the difference in the probabilities of evaporation residue formation among those reaction systems originates mainly from the evaporation process, which is sensitive to the fission barrier height and the excitation energy of a compound nucleus.